ORCID Profile
0000-0003-2762-1600
Current Organisation
University of Western Australia
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Mathematical Physics | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Field Theory and String Theory | Theoretical Physics | Field theory and string theory | Mathematical aspects of quantum and conformal field theory quantum gravity and string theory | Mathematical physics |
Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences | Physical sciences |
Publisher: Springer Science and Business Media LLC
Date: 06-2015
Publisher: World Scientific Pub Co Pte Lt
Date: 30-04-1999
DOI: 10.1142/S0217751X99000889
Abstract: We analyze the relationship between the N=2 harmonic and projective superspaces, which are the only approaches developed to describe general N=2 super-Yang–Mills theories in terms of off-shell supermultiplets with conventional supersymmetry. The structure of low energy hypermultiplet effective action is briefly discussed.
Publisher: Springer Science and Business Media LLC
Date: 08-2016
Publisher: Springer Science and Business Media LLC
Date: 09-2013
Publisher: Elsevier BV
Date: 1999
Publisher: Springer Science and Business Media LLC
Date: 04-2020
Publisher: Springer Science and Business Media LLC
Date: 08-2020
Abstract: For every conformal gauge field $$ {h}_{\\alpha (n)\\overset{\\cdot }{\\alpha }(m)} $$ h α n α ⋅ m in four dimensions, with n ≥ m 0, a gauge-invariant action is known to exist in arbitrary conformally flat backgrounds. If the Weyl tensor is non-vanishing, however, gauge invariance holds for a pure conformal field in the following cases: (i) n = m = 1 (Maxwell’s field) on arbitrary gravitational backgrounds and (ii) n = m + 1 = 2 (conformal gravitino) and n = m = 2 (conformal graviton) on Bach-flat backgrounds. It is believed that in other cases certain lower-spin fields must be introduced to ensure gauge invariance in Bach-flat backgrounds, although no closed-form model has yet been constructed (except for conformal maximal depth fields with spin s = 5 / 2 and s = 3). In this paper we derive such a gauge-invariant model describing the dynamics of a conformal gauge field $$ {h}_{\\alpha (3)\\overset{\\cdot }{\\alpha }} $$ h α 3 α ⋅ coupled to a self-dual two-form. Similar to other conformal higher-spin theories, it can be embedded in an off-shell superconformal gauge-invariant action. To this end, we introduce a new family of $$ \\mathcal{N} $$ N = 1 superconformal gauge multiplets described by unconstrained prepotentials ϒ α ( n ) , with n 0, and propose the corresponding gauge-invariant actions on conformally-flat backgrounds. We demonstrate that the n = 2 model, which contains $$ {h}_{\\alpha (3)\\overset{\\cdot }{\\alpha }} $$ h α 3 α ⋅ at the component level, can be lifted to a Bach-flat background provided ϒ α (2) is coupled to a chiral spinor Ω α . We also propose families of (super)conformal higher-derivative non-gauge actions and new superconformal operators in any curved space. Finally, through considerations based on supersymmetry, we argue that the conformal spin-3 field should always be accompanied by a conformal spin-2 field in order to ensure gauge invariance in a Bach-flat background.
Publisher: Elsevier BV
Date: 09-2011
Publisher: Elsevier BV
Date: 08-2007
Publisher: Springer Science and Business Media LLC
Date: 03-2017
Publisher: Elsevier BV
Date: 2021
Publisher: Springer Science and Business Media LLC
Date: 07-2017
Publisher: Springer Science and Business Media LLC
Date: 09-2012
Publisher: Wiley
Date: 29-02-2012
Abstract: Using a recently developed off‐shell formulation for general 4D 𝒩 = 2 supergravity‐matter systems, we propose a construction to generate higher derivative couplings. We address here mainly the interactions of tensor and vector multiplets, but the construction is quite general. For a certain subclass of terms, the action is naturally written as an integral over 3/4 of the Grassmann coordinates of superspace.
Publisher: Springer Science and Business Media LLC
Date: 10-2014
Publisher: Elsevier BV
Date: 1994
Publisher: Springer Science and Business Media LLC
Date: 21-06-2023
Abstract: We study the quantum dynamics of a system of n Abelian $$ \\mathcal{N} $$ N = 1 vector multiplets coupled to $$ \\frac{1}{2}n\\left(n+1\\right) $$ 1 2 n n + 1 chiral multiplets which parametrise the Hermitian symmetric space Sp(2 n, ℝ ) / U( n ). In the presence of supergravity, this model is super-Weyl invariant and possesses the maximal non-compact duality group Sp(2 n, ℝ ) at the classical level. These symmetries should be respected by the logarithmically ergent term (the “induced action”) of the effective action obtained by integrating out the vector multiplets. In computing the effective action, one has to deal with non-minimal operators for which the known heat kernel techniques are not directly applicable, even in flat (super)space. In this paper we develop a method to compute the induced action in Minkowski superspace. The induced action is derived in closed form and has a simple structure. It is a higher-derivative superconformal sigma model on Sp(2 n, ℝ ) / U( n ). The obtained $$ \\mathcal{N} $$ N = 1 results are generalised to the case of $$ \\mathcal{N} $$ N = 2 local supersymmetry: a system of n Abelian $$ \\mathcal{N} $$ N = 2 vector multiplets coupled to $$ \\mathcal{N} $$ N = 2 chiral multiplets X I parametrising Sp(2 n, ℝ ) / U( n ). The induced action is shown to be proportional to $$ \\int {\\textrm{d}}^4x{\\textrm{d}}^4\\theta {\\textrm{d}}^4\\overline{\\theta}E\\mathfrak{K}\\left(X,\\overline{X}\\right) $$ ∫ d 4 x d 4 θ d 4 θ ¯ E K X X ¯ , where $$ \\mathfrak{K}\\left(X,\\overline{X}\\right) $$ K X X ¯ is the Kähler potential for Sp(2 n, ℝ ) / U( n ). We also apply our method to compute DeWitt’s a 2 coefficients in some non-supersymmetric theories with non-minimal operators.
Publisher: Springer Science and Business Media LLC
Date: 07-2020
Abstract: In both $$ \\mathcal{N} $$ N = 1 and $$ \\mathcal{N} $$ N = 2 supersymmetry, it is known that Sp(2 n, ℝ) is the maximal duality group of n vector multiplets coupled to chiral scalar multiplets τ ( x, θ ) that parametrise the Hermitian symmetric space Sp(2 n, ℝ) / U( n ). If the coupling to τ is introduced for n superconformal gauge multiplets in a supergravity background, the action is also invariant under super-Weyl transformations. Computing the path integral over the gauge prepotentials in curved superspace leads to an effective action Γ[ τ, $$ \\overline{\\tau} $$ τ ¯ ] with the following properties: (i) its logarithmically ergent part is invariant under super-Weyl and rigid Sp(2 n, ℝ) transformations (ii) the super-Weyl transformations are anomalous upon renormalisation. In this paper we describe the $$ \\mathcal{N} $$ N = 1 and $$ \\mathcal{N} $$ N = 2 locally supersymmetric “induced actions” which determine the logarithmically ergent parts of the corresponding effective actions. In the $$ \\mathcal{N} $$ N = 1 case, superfield heat kernel techniques are used to compute the induced action of a single vector multiplet ( n = 1) coupled to a chiral dilaton-axion multiplet. We also describe the general structure of $$ \\mathcal{N} $$ N = 1 super-Weyl anomalies that contain weight-zero chiral scalar multiplets Φ I taking values in a Kähler manifold. Explicit anomaly calculations are carried out in the n = 1 case.
Publisher: IOP Publishing
Date: 16-02-2012
Publisher: Springer Science and Business Media LLC
Date: 12-2010
Publisher: Elsevier BV
Date: 09-1986
Publisher: World Scientific Pub Co Pte Lt
Date: 28-03-1991
DOI: 10.1142/S0217732391000919
Abstract: We prove that the conditions for cancellation of the anomaly in Siegel symmetry for the D=4 heterotic σ-models on group manifold and the (1, 0) non-Abelian lefton-righton Thirring models are the same as in the free string case.
Publisher: World Scientific Pub Co Pte Lt
Date: 20-07-1996
DOI: 10.1142/S0217751X96001589
Abstract: To describe a massive particle with fixed, but arbitrary, spin on d=4 anti-de Sitter space M 4 , we propose the point particle model with configuration space ℳ 6 =M 4 ×S 2 , where the sphere S 2 corresponds to the spin degrees of freedom. The model possesses two gauge symmetries expressing strong conservation of the phase space counterparts of the second and fourth order Casimir operators for so (3, 2). We prove that the requirement of energy to have a global positive minimum E o over the configuration space is equivalent to the relation E o s, s being the particle’s spin, which presents the classical counterpart of the quantum massive condition. States with minimal energy are studied in detail. The model is shown to be exactly solvable. It can be straightforwardly generalized to describe a spinning particle on d-dimensional anti-de Sitter space M d , with ℳ 2(d−1) =M d ×S (d−2) the corresponding configuration space.
Publisher: Elsevier BV
Date: 07-2006
Publisher: Springer Science and Business Media LLC
Date: 28-02-2007
Publisher: Springer Science and Business Media LLC
Date: 10-09-2008
Publisher: Elsevier BV
Date: 07-2004
Publisher: Springer Science and Business Media LLC
Date: 10-2014
Publisher: Springer Science and Business Media LLC
Date: 12-2012
Publisher: Elsevier BV
Date: 05-2001
Publisher: Springer Science and Business Media LLC
Date: 09-2017
Publisher: World Scientific Pub Co Pte Lt
Date: 20-04-1995
DOI: 10.1142/S0217751X95000735
Abstract: A new model of the relativistic massive particle with arbitrary spin [the (m, s) particle] is suggested. The configuration space of the model is the product of Minkowski space and a two-dimensional sphere: ℳ 6 =ℝ 3, 1 ×S 2 . The system describes Zitterbevegung at the classical level. Together with explicitly realized Poincare symmetry, the action functional turns out to be invariant under two types of gauge transformations having their origin in the presence of two Abelian first class constraints in the Hamilton formalism. These constraints correspond to strong conservation for the phase space counterparts of the Casimir operators of the Poincaré group. Canonical quantization of the model leads to equations on the wave functions which prove to be equivalent to the relativistic wave equations for the massive spin s field.
Publisher: Elsevier BV
Date: 12-2017
Publisher: Springer Science and Business Media LLC
Date: 10-2013
Publisher: Springer Science and Business Media LLC
Date: 27-06-2008
Publisher: Springer Science and Business Media LLC
Date: 12-2013
Publisher: American Physical Society (APS)
Date: 03-12-2021
Publisher: Springer Science and Business Media LLC
Date: 08-05-2023
Abstract: We elaborate on the structure of higher-spin $$ \\mathcal{N} $$ N = 2 supercurrent multiplets in four dimensions. It is shown that associated with every conformal supercurrent $$ {J}_{\\alpha (m)\\overset{\\cdot }{\\alpha }(n)} $$ J α m α ⋅ n (with m, n non-negative integers) is a descendant $$ {J}_{\\alpha \\left(m+1\\right)\\overset{\\cdot }{\\alpha}\\left(n+1\\right)}^{ij} $$ J α m + 1 α ⋅ n + 1 ij with the following properties: (a) it is a linear multiplet with respect to its SU(2) indices, that is $$ {D}_{\\beta}^{\\Big(i}{J}_{\\alpha \\left(m+1\\right)\\overset{\\cdot }{\\alpha}\\left(n+1\\right)}^{jk\\Big)}=0 $$ D β ( i J α m + 1 α ⋅ n + 1 jk ) = 0 and $$ {\\overline{D}}_{\\dot{\\beta}}^{\\Big(i}{J}_{\\alpha \\left(m+1\\right)\\overset{\\cdot }{\\alpha}\\left(n+1\\right)}^{jk\\Big)}=0 $$ D ¯ β ̇ ( i J α m + 1 α ⋅ n + 1 jk ) = 0 and (b) it is conserved, $$ {\\partial}^{\\beta \\overset{\\cdot }{\\beta }}{J}_{\\beta \\alpha (m)\\overset{\\cdot }{\\beta}\\overset{\\cdot }{\\alpha }(n)}^{ij}=0 $$ ∂ β β ⋅ J βα m β ⋅ α ⋅ n ij = 0 . Realisations of the conformal supercurrents $$ {J}_{\\alpha (s)\\overset{\\cdot }{\\alpha }(s)} $$ J α s α ⋅ s , with s = 0 , 1 , …, are naturally provided by a massless hypermultiplet and a vector multiplet. It turns out that such supercurrents and their linear descendants $$ {J}_{\\alpha \\left(s+1\\right)\\overset{\\cdot }{\\alpha}\\left(s+1\\right)}^{ij} $$ J α s + 1 α ⋅ s + 1 ij do not occur in the harmonic-superspace framework recently described by Buchbinder, Ivanov and Zaigraev. Making use of a massive hypermultiplet, we derive non-conformal higher-spin $$ \\mathcal{N} $$ N = 2 supercurrent multiplets. Additionally, we derive the higher symmetries of the kinetic operators for both a massive and massless hypermultiplet. Building on this analysis, we sketch the construction of higher-derivative gauge transformations for the off-shell arctic multiplet Υ (1) , which are expected to be vital in the framework of consistent interactions between Υ (1) and superconformal higher-spin gauge multiplets.
Publisher: Springer Science and Business Media LLC
Date: 2014
Publisher: Springer Science and Business Media LLC
Date: 06-2012
Publisher: Springer Science and Business Media LLC
Date: 23-06-2023
Abstract: We develop an embedding formalism for ( p , q ) anti-de Sitter (AdS) superspaces in three dimensions by using a modified version of their supertwistor description given in the literature. A coset construction for these superspaces is worked out. We put forward a program of constructing a supersymmetric analogue of the Bañados metric, which is expected to be a deformation of the ( p , q ) AdS superspace geometry by a two-dimensional conformal ( p , q ) supercurrent multiplet.
Publisher: Springer Science and Business Media LLC
Date: 03-2016
Publisher: Elsevier BV
Date: 2020
Publisher: American Physical Society (APS)
Date: 12-09-2016
Publisher: American Physical Society (APS)
Date: 12-08-2019
Publisher: World Scientific Pub Co Pte Lt
Date: 20-09-1997
DOI: 10.1142/S0217751X97002292
Abstract: We present a geometric formulation for the fractional spin particle models on the minimal phase–spaces. Consistent couplings of the anyon to background fields are constructed. The relationship between our approach and previously developed anyon models is discussed. We also demonstrate the canonical equivalence in the class of the minimal anyon models with nontimelike spin vector, which were independently considered before.
Publisher: American Physical Society (APS)
Date: 27-12-2017
Publisher: Elsevier BV
Date: 1998
Publisher: Elsevier BV
Date: 02-1997
Publisher: Springer Science and Business Media LLC
Date: 03-2013
Publisher: Elsevier BV
Date: 10-2023
Publisher: Springer Science and Business Media LLC
Date: 03-2011
Publisher: IOP Publishing
Date: 09-1997
Publisher: Springer Science and Business Media LLC
Date: 05-2021
Abstract: In a conformally flat three-dimensional spacetime, the linearised higher-spin Cotton tensor ℭ α ( n ) ( h ) is the unique conserved conformal current which is a gauge-invariant descendant of the conformal gauge prepotential h α ( n ) . The explicit form of ℭ α ( n ) ( h ) is well known in Minkowski space. Here we solve the problem of extending the Minkowskian result to the case of anti-de Sitter (AdS) space and derive a closed-form expression for ℭ α ( n ) ( h ) in terms of the AdS Lorentz covariant derivatives. It is shown that every conformal higher-spin action $$ {S}_{\\mathrm{CS}}^{(n)}\\left[h\\right]\\propto \\int {\\mathrm{d}}^3{xeh}^{\\alpha (n)}{\\mathrm{\\mathfrak{C}}}_{\\alpha (n)}(h) $$ S CS n h ∝ ∫ d 3 xeh α n ℭ α n h factorises into a product of ( n − 1) first-order operators that are associated with the spin- n/ 2 partially massless AdS values. Our findings greatly facilitate the on-shell analysis of massive higher-spin gauge-invariant actions in AdS 3 . The main results are extended to the case of $$ \\mathcal{N} $$ N = 1 AdS supersymmetry. In particular, we derive simple expressions for the higher-spin super-Cotton tensors in AdS 3 .
Publisher: Elsevier BV
Date: 08-2019
Publisher: American Physical Society (APS)
Date: 11-12-2009
Publisher: Elsevier BV
Date: 02-1998
Publisher: Springer Science and Business Media LLC
Date: 08-2015
Publisher: Elsevier BV
Date: 2012
Publisher: Elsevier BV
Date: 10-2004
Publisher: American Physical Society (APS)
Date: 26-04-2010
Publisher: Pleiades Publishing Ltd
Date: 12-2015
Publisher: Elsevier BV
Date: 10-1997
Publisher: Elsevier BV
Date: 07-1990
Publisher: Elsevier BV
Date: 03-1999
Publisher: Elsevier BV
Date: 10-2004
Publisher: Springer Science and Business Media LLC
Date: 10-2012
Publisher: American Physical Society (APS)
Date: 11-04-2014
Publisher: Elsevier BV
Date: 12-2001
Publisher: Springer Science and Business Media LLC
Date: 02-2013
Publisher: Springer Science and Business Media LLC
Date: 10-04-2008
Publisher: Elsevier BV
Date: 12-2018
Publisher: Springer Science and Business Media LLC
Date: 28-09-2009
Publisher: Elsevier BV
Date: 10-1997
Publisher: Wiley
Date: 21-07-2008
Abstract: This is a brief review of the superspace formulation for five‐dimensional 𝒩 = 1 matter‐coupled supergravity recently developed by the authors.
Publisher: World Scientific Pub Co Pte Lt
Date: 10-04-1990
DOI: 10.1142/S0217751X90000611
Abstract: We present a covariant action describing chiral bosonic string theories in space-time dimensions d and a covariant (1, 0) supersymmetric action describing heterotic string theories in space-time of dimension d . The anomaly cancellation conditions are found. In the four-dimensional case the supersymmetric action corresponds to the SO(44) heterotic string theory.
Publisher: Springer Science and Business Media LLC
Date: 02-2008
Publisher: Springer Science and Business Media LLC
Date: 09-1991
DOI: 10.1007/BF01027692
Publisher: American Physical Society (APS)
Date: 04-11-2015
Publisher: Springer Science and Business Media LLC
Date: 28-03-2000
Publisher: Elsevier BV
Date: 03-2019
Publisher: Springer Science and Business Media LLC
Date: 10-2015
Publisher: Wiley
Date: 07-06-2010
DOI: 10.1111/J.1469-8137.2010.03308.X
Abstract: Featured paper: See Commentary p303
Publisher: Pleiades Publishing Ltd
Date: 12-2015
Publisher: American Physical Society (APS)
Date: 21-11-2016
Publisher: Springer Science and Business Media LLC
Date: 09-2015
Publisher: Springer Science and Business Media LLC
Date: 04-12-2007
Publisher: Springer Science and Business Media LLC
Date: 10-2013
Publisher: Springer Science and Business Media LLC
Date: 05-2014
Publisher: IOP Publishing
Date: 17-01-2000
Publisher: Elsevier BV
Date: 06-1995
Publisher: Springer Science and Business Media LLC
Date: 03-2013
Publisher: Springer Science and Business Media LLC
Date: 12-2017
Publisher: Springer Science and Business Media LLC
Date: 02-04-2009
Publisher: Elsevier BV
Date: 03-2008
Publisher: The Royal Society
Date: 03-2023
Abstract: We revisit the work by Volkov and Soroka on spontaneously broken local supersymmetry. It is demonstrated for the first time that, for specially chosen parameters of the theory, the Volkov–Soroka action is invariant under two different local supersymmetries. One of them is present for arbitrary values of the parameters and acts on the Goldstino, while the other supersymmetry emerges only in a special case and leaves the Goldstino invariant. The former can be used to gauge away the Goldstino, and then the resulting action coincides with that proposed by Deser and Zumino for consistent supergravity in the first-order formalism. In this sense, pure N = 1 supergravity is a special case of the Volkov–Soroka theory, although it was not discovered by these authors. We also explain how the Volkov–Soroka approach allows one to naturally arrive at the 1.5 formalism. Our analysis provides a nonlinear realization approach to construct unbroken N = 1 Poincaré supergravity.
Publisher: World Scientific Pub Co Pte Lt
Date: 28-06-1998
DOI: 10.1142/S0217732398001704
Abstract: We analyze the one-loop effective action of N=4 SYM theory in the framework of the bakground field formalism in N=2 harmonic superspace. For the case of onshell background N=2 vector multiplet we prove that the effective action is free of harmonic singularities. When the lowest N=1 superspace component of the N=2 vector multiplet is switched off, the effective action of N=4 SYM theory is shown to coincide with obtained by Grisaru et al. on the base of the N=1 background field method. We compute the leading non-holomorphic corrections to the N=4 SU (2) SYM effective action.
Publisher: Springer Science and Business Media LLC
Date: 2011
Publisher: Elsevier BV
Date: 11-2019
Publisher: IOP Publishing
Date: 06-10-2010
Publisher: Springer Science and Business Media LLC
Date: 05-2011
Publisher: Springer Science and Business Media LLC
Date: 2002
Publisher: Springer Science and Business Media LLC
Date: 2011
Publisher: Springer Science and Business Media LLC
Date: 04-12-2007
Publisher: World Scientific Pub Co Pte Lt
Date: 30-04-1998
DOI: 10.1142/S0217732398001145
Abstract: We show explicitly that the perturbative holomorphic contribution to the off-shell effective action of N=2 U(1) gauge supermultiplet is an entire effect of the minimal coupling to a hypermultiplet with the mass generated by a central charge in N = 2 superalgebra. The central charge is induced by a constant vacuum N = 2 gauge superfield strength spontaneously breaking the automorphism U (1) R symmetry of N = 2 superalgebra. We use the manifestly off-shell supersymmetric harmonic superspace techniques of quantum calculations with the central charge-massive hypermultiplet propagator.
Publisher: Springer Science and Business Media LLC
Date: 02-2022
DOI: 10.1140/EPJC/S10052-022-10072-Y
Abstract: We propose supertwistor realisations of ( p , q ) anti-de Sitter (AdS) superspaces in three dimensions and $${\\mathcal {N}}$$ N -extended AdS superspaces in four dimensions. For each superspace, we identify a two-point function that is invariant under the corresponding isometry supergroup. This two-point function is a supersymmetric extension (of a function) of the geodesic distance. We also describe a bi-supertwistor formulation for $${\\mathcal {N}}$$ N -extended AdS superspace in four dimensions and harmonic rojective extensions of ( p , q ) AdS superspaces in three dimensions.
Publisher: Elsevier BV
Date: 1999
Publisher: Springer Science and Business Media LLC
Date: 09-03-2023
DOI: 10.1140/EPJC/S10052-023-11373-6
Abstract: We study a system of n Abelian vector fields coupled to $$\\frac{1}{2} n(n+1)$$ 1 2 n ( n + 1 ) complex scalars parametrising the Hermitian symmetric space $${\\textsf{Sp}}(2n, {\\mathbb {R}})/ {\\textsf{U}}(n).$$ Sp ( 2 n , R ) / U ( n ) . This model is Weyl invariant and possesses the maximal non-compact duality group $${\\textsf{Sp}}(2n, {\\mathbb {R}}).$$ Sp ( 2 n , R ) . Although both symmetries are anomalous in the quantum theory, they should be respected by the logarithmic ergent term (the “induced action”) of the effective action obtained by integrating out the vector fields. We compute this induced action and demonstrate its Weyl and $${\\textsf{Sp}}(2n, {\\mathbb {R}})$$ Sp ( 2 n , R ) invariance. The resulting conformal higher-derivative $$\\sigma $$ σ -model on $${\\textsf{Sp}}(2n, {\\mathbb {R}})/ {\\textsf{U}}(n)$$ Sp ( 2 n , R ) / U ( n ) is generalised to the cases where the fields take their values in (i) an arbitrary Kähler space and (ii) an arbitrary Riemannian manifold. In both cases, the $$\\sigma $$ σ -model Lagrangian generates a Weyl anomaly satisfying the Wess–Zumino consistency condition.
Publisher: Elsevier BV
Date: 03-2009
Publisher: Elsevier BV
Date: 06-2018
Publisher: Elsevier BV
Date: 08-1998
Publisher: Elsevier BV
Date: 06-2003
Publisher: Springer Science and Business Media LLC
Date: 2010
Publisher: Wiley
Date: 05-11-2022
Abstract: In even spacetime dimensions, the interacting bosonic conformal higher‐spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is the model describing a complex scalar field φ coupled to an infinite set of background CHS fields h , with possessing a non‐abelian gauge symmetry. Two characteristic features of the perturbative constructions of given in the literature are: (i) the background spacetime is flat and (ii) conformal invariance is not manifest. In the present paper we provide a new derivation of this action in four dimensions such that (i) is defined on an arbitrary conformally‐flat background and (ii) the background conformal symmetry is manifestly realised. Next, our results are extended to the supersymmetric case. Specifically, we construct, for the first time, a model for a conformal scalar/chiral multiplet Φ coupled to an infinite set of background higher‐spin superfields H . Our action possesses a non‐abelian gauge symmetry which naturally generalises the linearised gauge transformations of conformal half‐integer superspin multiplets. The other fundamental features of this model are: (i) is defined on an arbitrary conformally‐flat superspace background and (ii) the background superconformal symmetry is manifest. Making use of , an interacting superconformal higher‐spin theory can be defined as an induced action.
Publisher: American Physical Society (APS)
Date: 13-10-2005
Publisher: Springer Science and Business Media LLC
Date: 27-09-2021
Abstract: We present $$ \\mathcal{N} $$ N = 2 superconformal U(1) duality-invariant models for an Abelian vector multiplet coupled to conformal supergravity. In a Minkowski background, such a nonlinear theory is expected to describe (the planar part of) the low-energy effective action for the $$ \\mathcal{N} $$ N = 4 SU( N ) super-Yang-Mills (SYM) theory on its Coulomb branch where (i) the gauge group SU( N ) is spontaneously broken to SU( N − 1) × U(1) and (ii) the dynamics is captured by a single $$ \\mathcal{N} $$ N = 2 vector multiplet associated with the U(1) factor of the unbroken group. Additionally, a local U(1) duality-invariant action generating the $$ \\mathcal{N} $$ N = 2 super-Weyl anomaly is proposed. By providing a new derivation of the recently constructed U(1) duality-invariant $$ \\mathcal{N} $$ N = 1 superconformal electrodynamics, we introduce its SL(2 , ℝ) duality-invariant coupling to the dilaton-axion multiplet.
Publisher: Springer Science and Business Media LLC
Date: 03-2013
Publisher: Elsevier BV
Date: 12-2023
Publisher: Sissa Medialab
Date: 25-09-2000
DOI: 10.22323/1.006.0022
Publisher: The Royal Society
Date: 09-2023
Publisher: Pleiades Publishing Ltd
Date: 03-2017
Publisher: Springer Science and Business Media LLC
Date: 1985
DOI: 10.1007/BF00896054
Publisher: Springer Science and Business Media LLC
Date: 02-2018
Publisher: Springer Science and Business Media LLC
Date: 16-02-2007
Publisher: Springer Science and Business Media LLC
Date: 16-02-2023
Abstract: We propose a superspace formulation for conformal ( p , q ) supergravity in two dimensions as a gauge theory of the superconformal group OSp 0 ( p |2 ℝ ) × OSp 0 ( q |2 ℝ ) with a flat connection. Upon degauging of certain local symmetries, this conformal superspace is shown to reduce to a conformally flat SO( p ) × SO( q ) superspace with the following properties: (i) its structure group is a direct product of the Lorentz group and SO( p ) × SO( q ) and (ii) the residual local scale symmetry is realised by super-Weyl transformations with an unconstrained real parameter. As an application of the formalism, we describe $$ \mathcal{N} $$ N -extended AdS superspace as a maximally symmetric supergeometry in the p = q ≡ $$ \mathcal{N} $$ N case. If at least one of the parameters p or q is even, alternative superconformal groups and, thus, conformal superspaces exist. In particular, if p = 2 n , a possible choice of the superconformal group is SU(1, 1| n ) × OSp 0 ( q |2 ℝ ), for n ≠ 2, and PSU(1, 1|2) × OSp 0 ( q |2 ℝ ), when n = 2. In general, a conformal superspace formulation is associated with a supergroup G = G L × G R , where the simple supergroups G L and G R can be any of the extended superconformal groups, which were classified by Günaydin, Sierra and Townsend. Degauging the corresponding conformal superspace leads to a conformally flat H L × H R superspace, where H L ( H R ) is the R -symmetry subgroup of G L ( G R ). Additionally, for the p , q ≤ 2 cases we propose composite primary multiplets which generate the Gauss-Bonnet invariant and supersymmetric extensions of the Fradkin-Tseytlin term.
Publisher: Springer Science and Business Media LLC
Date: 04-2011
Publisher: Elsevier BV
Date: 09-1999
Publisher: Springer Science and Business Media LLC
Date: 07-1990
DOI: 10.1007/BF01017197
Publisher: Springer Science and Business Media LLC
Date: 12-10-2021
Abstract: We derive the transverse projection operators for fields with arbitrary integer and half-integer spin on three-dimensional anti-de Sitter space, AdS 3 . The projectors are constructed in terms of the quadratic Casimir operators of the isometry group SO(2 , 2) of AdS 3 . Their poles are demonstrated to correspond to (partially) massless fields. As an application, we make use of the projectors to recast the conformal and topologically massive higher-spin actions in AdS 3 into a manifestly gauge-invariant and factorised form. We also propose operators which isolate the component of a field that is transverse and carries a definite helicity. Such fields correspond to irreducible representations of SO(2 , 2). Our results are then extended to the case of $$ \\mathcal{N} $$ N = 1 AdS 3 supersymmetry.
Publisher: Springer Science and Business Media LLC
Date: 09-2018
Abstract: We propose higher spin supercurrent multiplets for $$ \\mathcal{N}=1 $$ N = 1 supersymmetric field theories in four-dimensional anti-de Sitter space (AdS). Their explicit realisations are derived for various supersymmetric theories, including a model of N massive chiral scalar superfields with an arbitrary mass matrix. We also present new off-shell gauge formulations for the massless $$ \\mathcal{N}=1 $$ N = 1 supersymmetric multiplet of integer superspin s in AdS, where s = 2 , 3 , . . . , as well as for the massless gravitino multiplet (superspin s = 1) which requires special consideration.
Publisher: Elsevier BV
Date: 04-2004
Publisher: Elsevier BV
Date: 11-2007
Publisher: Elsevier BV
Date: 12-2003
Publisher: Springer Science and Business Media LLC
Date: 29-12-2021
Abstract: Using the off-shell formulation for $$ \\mathcal{N} $$ N = 2 conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge prepotentials. The latter are used to construct locally superconformal chiral actions, which are demonstrated to be gauge invariant in arbitrary conformally flat backgrounds. The main $$ \\mathcal{N} $$ N = 2 results are then generalised to the $$ \\mathcal{N} $$ N -extended case. We also present the gauge-invariant field strengths for on-shell massless higher-spin $$ \\mathcal{N} $$ N = 2 supermultiplets in anti-de Sitter space. These field strengths prove to furnish representations of the $$ \\mathcal{N} $$ N = 2 superconformal group.
Publisher: Springer Science and Business Media LLC
Date: 05-05-2005
Publisher: Springer Science and Business Media LLC
Date: 03-2021
Abstract: General $$ \\mathcal{N} $$ N = (1 , 0) supergravity-matter systems in six dimensions may be described using one of the two fully fledged superspace formulations for conformal supergravity: (i) SU(2) superspace and (ii) conformal superspace. With motivation to develop rigid supersymmetric field theories in curved space, this paper is devoted to the study of the geometric symmetries of supergravity backgrounds. In particular, we introduce the notion of a conformal Killing spinor superfield ϵ α , which proves to generate extended superconformal transformations. Among its cousins are the conformal Killing vector ξ a and tensor ζ a ( n ) superfields. The former parametrise conformal isometries of supergravity backgrounds, which in turn yield symmetries of every superconformal field theory. Meanwhile, the conformal Killing tensors of a given background are associated with higher symmetries of the hypermultiplet. By studying the higher symmetries of a non-conformal vector multiplet we introduce the concept of a Killing tensor superfield. We also analyse the problem of computing higher symmetries for the conformal d’Alembertian in curved space and demonstrate that, beyond the first-order case, these operators are defined only on a limited class of backgrounds, including all conformally flat ones.
Publisher: Springer Science and Business Media LLC
Date: 09-05-2003
Publisher: Springer Science and Business Media LLC
Date: 16-05-2023
Abstract: A decade ago, it was shown that associated with any model for U(1) duality-invariant nonlinear electrodynamics there is a unique U(1) duality-invariant supersymmetric nonlinear sigma model formulated in terms of chiral and complex linear superfields. Here we study the $$ \\mathcal{N} $$ N = 1 superconformal σ -model analogue of the conformal duality-invariant electrodynamics known as the ModMax theory. We derive its dual formulation in terms of chiral superfields and show that the target space is a Kähler cone with U(1) × U(1) being the connected component of the isometry group.
Publisher: Elsevier BV
Date: 2017
Publisher: Elsevier BV
Date: 09-2002
Publisher: Springer Science and Business Media LLC
Date: 09-2014
Publisher: IOP Publishing
Date: 08-1990
Publisher: Springer Science and Business Media LLC
Date: 11-2011
Publisher: Springer Science and Business Media LLC
Date: 19-03-2021
Abstract: We propose generalised $$ \\mathcal{N} $$ N = 1 superconformal higher-spin (SCHS) gauge multiplets of depth t , $$ {\\Upsilon}_{\\alpha (n)\\overset{\\cdot }{\\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t , with n ≥ m ≥ 1. At the component level, for t 2 they contain generalised conformal higher-spin (CHS) gauge fields with depths t − 1, t and t + 1. The supermultiplets with t = 1 and t = 2 include both ordinary and generalised CHS gauge fields. Super-Weyl and gauge invariant actions describing the dynamics of $$ {\\Upsilon}_{\\alpha (n)\\overset{\\cdot }{\\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t on conformally-flat superspace backgrounds are then derived. For the case n = m = t = 1, corresponding to the maximal-depth conformal graviton supermultiplet, we extend this action to Bach-flat backgrounds. Models for superconformal non-gauge multiplets, which are expected to play an important role in the Bach-flat completions of the models for $$ {\\Upsilon}_{\\alpha (n)\\overset{\\cdot }{\\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t , are also provided. Finally we show that, on Bach-flat backgrounds, requiring gauge and Weyl invariance does not always determine a model for a CHS field uniquely.
Publisher: American Physical Society (APS)
Date: 21-10-2015
Publisher: Springer Science and Business Media LLC
Date: 05-2019
Abstract: We develop a manifestly conformal approach to describe linearised (super)conformal higher-spin gauge theories in arbitrary conformally flat backgrounds in three and four spacetime dimensions. Closed-form expressions in terms of gauge prepotentials are given for gauge-invariant higher-spin (super) Cotton and (super) Weyl tensors in three and four dimensions, respectively. The higher-spin (super) Weyl tensors are shown to be conformal primary (super)fields in arbitrary conformal (super)gravity backgrounds, however they are gauge invariant only if the background (super) Weyl tensor vanishes. The proposed higher-spin actions are (super) Weyl-invariant on arbitrary curved backgrounds, however the appropriate higher-spin gauge invariance holds only in the conformally flat case. We also describe conformal models for generalised gauge fields that are used to describe partially massless dynamics in three and four dimensions. In particular, generalised higher-spin Cotton and Weyl tensors are introduced.
Publisher: Elsevier BV
Date: 2007
Publisher: Springer Science and Business Media LLC
Date: 04-2010
Publisher: Springer Science and Business Media LLC
Date: 12-2016
Publisher: Springer Science and Business Media LLC
Date: 12-2011
Publisher: Elsevier BV
Date: 09-2002
Publisher: Springer Science and Business Media LLC
Date: 07-08-2009
Publisher: IOP Publishing
Date: 21-01-2020
Abstract: We analyse the relation between anomalies in their manifestly supersymmetric formulation in superspace and their formulation in Wess–Zumino (WZ) gauges. We show that there is a one-to-one correspondence between the solutions of the cohomology problem in the two formulations and that they are related by a particular choice of a superspace counterterm (‘scheme’). Any apparent violation of Q -supersymmetry is due to an explicit violation by the counterterm which defines the scheme equivalent to the WZ gauge. It is therefore removable.
Publisher: Sissa Medialab
Date: 29-02-2000
DOI: 10.22323/1.004.0029
Publisher: Springer Science and Business Media LLC
Date: 02-2018
Publisher: Pleiades Publishing Ltd
Date: 09-2020
Publisher: Springer Science and Business Media LLC
Date: 05-2017
Publisher: Springer Science and Business Media LLC
Date: 16-12-2008
Publisher: Springer Science and Business Media LLC
Date: 10-2008
Publisher: American Physical Society (APS)
Date: 10-12-2018
Publisher: American Physical Society (APS)
Date: 15-09-1997
Publisher: World Scientific Pub Co Pte Lt
Date: 28-06-1996
DOI: 10.1142/S0217732396001648
Abstract: Starting with a manifestly conformal (O(d, 2) invariant) mechanics model in d space and two time dimensions, we derive the action for a massless spinning particle in d-dimensional anti-de Sitter space. The action obtained possesses both gauge N-extended worldline supersymmetry and local O(N) invariance. Thus we improve the old statement by Howe et al. that the spinning particle model with extended worldline supersymmetry admits only flat spacetime background for N (spin greater one). The original (d+2)-dimensional model is characterized by rather unusual property that the corresponding supersymmetry transformations do not commute with the conformal ones, in spite of the explicit O(d, 2) invariance of the action.
Publisher: Springer Science and Business Media LLC
Date: 11-01-2021
Abstract: In d dimensions, the model for a massless p -form in curved space is known to be a reducible gauge theory for p 1, and therefore its covariant quantisation cannot be carried out using the standard Faddeev-Popov scheme. However, adding a mass term and also introducing a Stueckelberg reformulation of the resulting p -form model, one ends up with an irreducible gauge theory which can be quantised à la Faddeev and Popov. We derive a compact expression for the massive p -form effective action, $$ {\\Gamma}_p^{(m)} $$ Γ p m , in terms of the functional determinants of Hodge-de Rham operators. We then show that the effective actions $$ {\\Gamma}_p^{(m)} $$ Γ p m and $$ {\\Gamma}_{d-p-1}^{(m)} $$ Γ d − p − 1 m differ by a topological invariant. This is a generalisation of the known result in the massless case that the effective actions Γ p and Γ d−p− 2 coincide modulo a topological term. Finally, our analysis is extended to the case of massive super p -forms coupled to background $$ \\mathcal{N} $$ N = 1 supergravity in four dimensions. Specifically, we study the quantum dynamics of the following massive super p -forms: (i) vector multiplet (ii) tensor multiplet and (iii) three-form multiplet. It is demonstrated that the effective actions of the massive vector and tensor multiplets coincide. The effective action of the massive three-form is shown to be a sum of those corresponding to two massive scalar multiplets, modulo a topological term.
Publisher: American Physical Society (APS)
Date: 22-06-2021
Publisher: Springer Science and Business Media LLC
Date: 10-2018
Abstract: We elaborate on conformal higher-spin gauge theory in three-dimensional (3D) curved space. For any integer n 2 we introduce a conformal spin- $$ \\frac{n}{2} $$ n 2 gauge field $$ {h}_{(n)}={h}_{\\alpha_1\\dots {\\alpha}_n} $$ h n = h α 1 … α n (with n spinor indices) of dimension (2 − n /2) and argue that it possesses a Weyl primary descendant C ( n ) of dimension (1 + n /2). The latter proves to be ergenceless and gauge invariant in any conformally flat space. Primary fields C (3) and C (4) coincide with the linearised Cottino and Cotton tensors, respectively. Associated with C ( n ) is a Chern-Simons-type action that is both Weyl and gauge invariant in any conformally flat space. These actions, which for n = 3 and n = 4 coincide with the linearised actions for conformal gravitino and conformal gravity, respectively, are used to construct gauge-invariant models for massive higher-spin fields in Minkowski and anti-de Sitter space. In the former case, the higher-derivative equations of motion are shown to be equivalent to those first-order equations which describe the irreducible unitary massive spin- $$ \\frac{n}{2} $$ n 2 representations of the 3D Poincaré group. Finally, we develop $$ \\mathcal{N}=1 $$ N = 1 supersymmetric extensions of the above results.
Publisher: Sissa Medialab
Date: 19-08-2015
DOI: 10.22323/1.231.0140
Publisher: Elsevier BV
Date: 03-1988
Publisher: Elsevier BV
Date: 12-2016
Publisher: Springer Science and Business Media LLC
Date: 08-2012
Publisher: Springer Science and Business Media LLC
Date: 26-01-2005
Publisher: American Physical Society (APS)
Date: 08-01-2018
Publisher: Springer Science and Business Media LLC
Date: 10-2021
Abstract: In this paper, we study the general form of three-point functions of conserved current multiplets S α ( k ) = S ( α 1… αk ) of arbitrary rank in four-dimensional $$ \\mathcal{N} $$ N = 1 superconformal theory. We find that the correlation function of three such operators $$ \\left\\langle {\\overline{S}}_{\\dot{\\alpha}(k)}\\left({z}_1\\right){S}_{\\beta \\left(k+l\\right)}\\left({z}_2\\right){\\overline{S}}_{\\dot{\\gamma}(l)}\\left({z}_3\\right)\\right\\rangle $$ S ¯ α ̇ k z 1 S β k + l z 2 S ¯ γ ̇ l z 3 is fixed by the superconformal symmetry up to a single complex coefficient though the precise form of the correlator depends on the values of k and l . In addition, we present the general structure of mixed correlators of the form $$ \\left\\langle {\\overline{S}}_{\\dot{\\alpha}(k)}\\left({z}_1\\right){S}_{\\alpha (k)}\\left({z}_2\\right)L\\left({z}_3\\right)\\right\\rangle $$ S ¯ α ̇ k z 1 S α k z 2 L z 3 and $$ \\left\\langle {\\overline{S}}_{\\dot{\\alpha}(k)}\\left({z}_1\\right){S}_{\\alpha (k)}\\left({z}_2\\right){J}_{\\gamma \\dot{\\gamma}}\\left({z}_3\\right)\\right\\rangle $$ S ¯ α ̇ k z 1 S α k z 2 J γ γ ̇ z 3 , where L is the flavour current multiplet and $$ {J}_{\\gamma \\dot{\\gamma}} $$ J γ γ ̇ is the supercurrent.
Publisher: Elsevier BV
Date: 04-1995
Publisher: Springer Science and Business Media LLC
Date: 02-2015
Publisher: Elsevier BV
Date: 04-2023
Publisher: Pleiades Publishing Ltd
Date: 09-2018
Publisher: Springer Science and Business Media LLC
Date: 10-2010
Publisher: Elsevier BV
Date: 09-1989
Publisher: Elsevier BV
Date: 04-2011
Publisher: Elsevier BV
Date: 06-2006
Publisher: Elsevier BV
Date: 10-1988
Publisher: Springer Science and Business Media LLC
Date: 04-10-2005
Publisher: Springer Science and Business Media LLC
Date: 05-2016
Publisher: Elsevier BV
Date: 03-2018
Publisher: Springer Science and Business Media LLC
Date: 09-2013
Publisher: Elsevier BV
Date: 07-2001
Publisher: Springer Science and Business Media LLC
Date: 08-2019
Abstract: The off-shell actions for $$ \\mathcal{N} $$ N -extended conformal supergravity theories in three dimensions were formulated in [1, 2] for 1 ≤ $$ \\mathcal{N} $$ N ≤ 6 using a universal approach. Each action is generated by a closed super three-form which is constructed in terms of the constrained geometry of $$ \\mathcal{N} $$ N -extended conformal superspace. In this paper we initiate a program to recast these actions (and to formulate their higher-spin counterparts) in terms of unconstrained gauge prepotentials as integrals over the full superspace. We derive transverse projection operators in $$ \\mathcal{N} $$ N -extended Minkowski superspace and then use them to construct linearised rank- n super-Cotton tensors and off-shell $$ \\mathcal{N} $$ N -extended superconformal actions. We also propose off-shell gauge-invariant actions to describe massive higher-spin super-multiplets in $$ \\mathcal{N} $$ N -extended supersymmetry. Our analysis leads to general expressions for identically conserved higher-spin current multiplets in $$ \\mathcal{N} $$ N -extended supersymmetry.
Publisher: Springer Science and Business Media LLC
Date: 09-2013
Publisher: Springer Science and Business Media LLC
Date: 02-2014
Publisher: Springer Science and Business Media LLC
Date: 06-2011
Publisher: Springer Science and Business Media LLC
Date: 05-2014
Publisher: Wiley
Date: 02-2001
DOI: 10.1002/1521-3978(200102)49:1/3<273::AID-PROP273>3.0.CO;2-0
Publisher: Springer Science and Business Media LLC
Date: 04-2021
Abstract: Within the framework of $$ \mathcal{N} $$ N = 1 anti-de Sitter (AdS) supersymmetry in four dimensions, we derive superspin projection operators (or superprojectors). For a tensor superfield $$ {\mathfrak{V}}_{\alpha (m)\overset{\cdot }{\alpha }(n)}:= {\mathfrak{V}}_{\left(\alpha 1\dots \alpha m\right)\left({\overset{\cdot }{\alpha}}_1\dots {\overset{\cdot }{\alpha}}_n\right)} $$ V α m α ⋅ n ≔ V α 1 … αm α ⋅ 1 … α ⋅ n on AdS superspace, with m and n non-negative integers, the corresponding superprojector turns $$ {\mathfrak{V}}_{\alpha (m)\overset{\cdot }{\alpha }(n)} $$ V α m α ⋅ n into a multiplet with the properties of a conserved conformal supercurrent. It is demonstrated that the poles of such superprojectors correspond to (partially) massless multiplets, and the associated gauge transformations are derived. We give a systematic discussion of how to realise the unitary and the partially massless representations of the $$ \mathcal{N} $$ N = 1 AdS 4 superalgebra $$ \mathfrak{osp} $$ osp (1|4) in terms of on-shell superfields. As an ex le, we present an off-shell model for the massive gravitino multiplet in AdS4. We also prove that the gauge-invariant actions for superconformal higher-spin multiplets factorise into products of minimal second-order differential operators.
Publisher: Springer Science and Business Media LLC
Date: 25-05-2007
Publisher: Springer Science and Business Media LLC
Date: 18-02-2003
Publisher: Springer Science and Business Media LLC
Date: 15-02-2006
Publisher: Springer Science and Business Media LLC
Date: 07-2011
Publisher: Springer Science and Business Media LLC
Date: 1990
DOI: 10.1007/BF01028252
Publisher: Springer Science and Business Media LLC
Date: 2012
Publisher: Elsevier BV
Date: 09-1991
Publisher: Springer Science and Business Media LLC
Date: 04-2020
Publisher: Springer Science and Business Media LLC
Date: 04-2018
Abstract: We propose a nilpotent $$ \\mathcal{N}=1 $$ N = 1 tensor multiplet describing two fields, which are the Goldstino and the axion, the latter being realised in terms of the field strength of a gauge two-form. This supersymmetric multiplet is formulated in terms of a deformed real linear superfield, subject to a cubic nilpotency condition. Its couplings to a super Yang-Mills multiplet and supergravity are presented. To define a nilpotent tensor multiplet in the locally supersymmetric case, one has to make use of either real or complex three-form supergravity theories, which are variant realisations of the old minimal formulation for $$ \\mathcal{N}=1 $$ N = 1 supergravity.
Publisher: Elsevier BV
Date: 08-1989
Publisher: No publisher found
Date: 2011
Publisher: Springer Science and Business Media LLC
Date: 11-2017
Abstract: We develop a superfield approach to compute chiral anomalies in general $$ \\mathcal{N} $$ N = (1,0) supersymmetric gauge theories in six dimensions. Within the harmonic-superspace formulation for these gauge theories, the anomalous contributions to the effective action only come from matter and ghost hypermultiplets. By studying the short-distance behaviour of the propagator for the hypermultiplet coupled to a background vector multiplet, we compute the covariant and consistent chiral anomalies. We also provide a superform formulation for the non-abelian anomalous current multiplet in general $$ \\mathcal{N} $$ N = (1, 0) supersymmetric gauge theories.
Publisher: Springer Science and Business Media LLC
Date: 07-2021
Abstract: We consider $$ \\mathcal{N} $$ N = 1 superconformal field theories in four dimensions possessing an additional conserved spinor current multiplet S α and study three-point functions involving such an operator. A conserved spinor current multiplet naturally exists in superconformal theories with $$ \\mathcal{N} $$ N = 2 supersymmetry and contains the current of the second supersymmetry. However, we do not assume $$ \\mathcal{N} $$ N = 2 supersymmetry. We show that the three-point function of two spinor current multiplets and the $$ \\mathcal{N} $$ N = 1 supercurrent depends on three independent tensor structures and, in general, is not contained in the three-point function of the $$ \\mathcal{N} $$ N = 2 supercurrent. It then follows, based on symmetry considerations only, that the existence of one more Grassmann odd current multiplet in $$ \\mathcal{N} $$ N = 1 superconformal field theory does not necessarily imply $$ \\mathcal{N} $$ N = 2 superconformal symmetry.
Publisher: Springer Science and Business Media LLC
Date: 05-2012
Publisher: Springer Science and Business Media LLC
Date: 02-2016
Start Date: 2010
End Date: 12-2014
Amount: $775,000.00
Funder: Australian Research Council
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End Date: 12-2023
Amount: $435,000.00
Funder: Australian Research Council
View Funded ActivityStart Date: 2023
End Date: 12-2025
Amount: $455,000.00
Funder: Australian Research Council
View Funded ActivityStart Date: 2014
End Date: 06-2017
Amount: $346,000.00
Funder: Australian Research Council
View Funded ActivityStart Date: 2016
End Date: 12-2019
Amount: $377,600.00
Funder: Australian Research Council
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