ORCID Profile
0000-0002-4989-8216
Current Organisation
The university of Quensland
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Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Field Theory and String Theory | Mathematical Physics | Integrable Systems (Classical and Quantum) | Quantum Physics
Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences |
Publisher: Springer Science and Business Media LLC
Date: 12-2010
Publisher: Springer Science and Business Media LLC
Date: 16-02-2007
Publisher: American Physical Society (APS)
Date: 11-12-2009
Publisher: Springer Science and Business Media LLC
Date: 05-2017
Publisher: Pleiades Publishing Ltd
Date: 12-2015
Publisher: Springer Science and Business Media LLC
Date: 06-09-2006
Publisher: Springer Science and Business Media LLC
Date: 08-2012
Publisher: Springer Science and Business Media LLC
Date: 05-2020
Publisher: Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
Date: 2011
DOI: 10.18452/2833
Publisher: American Physical Society (APS)
Date: 08-01-2018
Publisher: IOP Publishing
Date: 03-2018
Publisher: Springer Science and Business Media LLC
Date: 03-2019
Abstract: We study partial supersymmetry breaking from $$ \\mathcal{N} $$ N = 2 to $$ \\mathcal{N} $$ N = 1 by adding non-linear terms to the $$ \\mathcal{N} $$ N = 2 supersymmetry transformations. By exploiting the necessary existence of a deformed supersymmetry algebra for partial breaking to occur, we systematically use $$ \\mathcal{N} $$ N = 2 projective superspace with central charges to provide a streamlined setup. For deformed $$ \\mathcal{O} $$ O (2) and $$ \\mathcal{O} $$ O (4) hypermultiplets, besides reproducing known results, we describe new models exhibiting partial supersymmetry breaking with and without higher-derivative interactions.
Publisher: Springer Science and Business Media LLC
Date: 10-2014
Publisher: Elsevier BV
Date: 11-2007
Publisher: Springer Science and Business Media LLC
Date: 02-2018
Publisher: American Physical Society (APS)
Date: 11-04-2014
Publisher: Wiley
Date: 29-02-2012
Abstract: We review some recent results on the construction in superspace of 3D 𝒩 = 2 AdS supergravities and on the formulation of rigid supersymmetric theories in (1,1) and (2,0) AdS superspaces.
Publisher: Springer Science and Business Media LLC
Date: 02-2015
Publisher: Springer Science and Business Media LLC
Date: 02-2013
Publisher: Springer Science and Business Media LLC
Date: 10-04-2008
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: 10-2019
Abstract: We study fermionic bulk fields in the dS/CFT dualities relating $$ \\mathcal{N} $$ N = 2 su- persymmetric Euclidean vector models with reversed spin-statistics in three dimensions to supersymmetric Vasiliev theories in four-dimensional de Sitter space. These dualities specify the Hartle-Hawking wave function in terms of the partition function of deforma- tions of the vector models. We evaluate this wave function in homogeneous minisuperspace models consisting of supersymmetry-breaking combinations of a half-integer spin field with either a scalar, a pseudoscalar or a metric squashing. The wave function appears to be well-behaved and globally peaked at or near the supersymmetric de Sitter vacuum, with a low litude for large deformations. Its behavior in the semiclassical limit qualitatively agrees with earlier bulk computations both for massless and massive fermionic fields.
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: Springer Science and Business Media LLC
Date: 08-2020
Abstract: A necessary condition for partial breaking of $$ \\mathcal{N} $$ N = 2 global supersymmetry is the presence of nonlinear deformations of the field transformations which cannot be generated by background values of auxiliary fields. This work studies the simplest of these deformations which already occurs in $$ \\mathcal{N} $$ N = 1 global supersymmetry, and its coupling to supergravity. It can be viewed as an imaginary constant shift of the D -auxiliary real field of an abelian gauge multiplet. We show how this deformation describes the magnetic dual of a Fayet-Iliopoulos term, a result that remains valid in supergravity, using its new-minimal formulation. Local supersymmetry and the deformation induce a positive cosmological constant. Moreover, the deformed U(1) Maxwell theory coupled to supergravity describes upon elimination of the auxiliary fields the gauging of R -symmetry, realised by the Freedman model of 1976. To this end, we construct the chiral spinor multiplet in superconformal tensor calculus by working out explicitly its transformation rules and use it for an alternative description of the new-minimal supergravity coupled to a U(1) multiplet. We also discuss the deformed Maxwell theory in curved superspace.
Publisher: Springer Science and Business Media LLC
Date: 04-2010
Publisher: Wiley
Date: 27-09-2022
Abstract: We develop a general formalism to study the three‐point correlation functions of conserved higher‐spin supercurrent multiplets in 4D superconformal theory. All the constraints imposed by superconformal symmetry on the three‐point function are systematically derived for arbitrary , thus reducing the problem mostly to computational and combinatorial. As an illustrative ex le, we explicitly work out the allowed tensor structures contained in , where is the supercurrent. We find that this three‐point function depends on two independent tensor structures, though the precise form of the correlator depends on whether r is even or odd. The case reproduces the three‐point function of the ordinary supercurrent derived by Osborn. Additionally, we present the most general structure of mixed correlators of the form and , where L is the flavour current multiplet.
Publisher: American Physical Society (APS)
Date: 19-05-2023
Publisher: Springer Science and Business Media LLC
Date: 10-09-2008
Publisher: Springer Science and Business Media LLC
Date: 02-2008
Publisher: American Physical Society (APS)
Date: 13-09-2017
Publisher: Pleiades Publishing Ltd
Date: 05-2011
Publisher: Stichting SciPost
Date: 04-08-2022
DOI: 10.21468/SCIPOSTPHYS.13.2.012
Abstract: We show that the recently introduced ModMax theory of electrodynamics and its Born-Infeld-like generalization are related by a flow equation driven by a quadratic combination of stress-energy tensors. The operator associated to this flow is a 4d 4 d analogue of the T\\overline{T} T T ¯ deformation in two dimensions. This result generalizes the observation that the ordinary Born-Infeld Lagrangian is related to the free Maxwell theory by a current-squared flow. As in that case, we show that no analogous relationship holds in any other dimension besides d=4 d = 4 . We also demonstrate that the \\mathcal{N}=1 𝒩 = 1 supersymmetric version of the ModMax-Born-Infeld theory obeys a related supercurrent-squared flow which is formulated directly in \\mathcal{N} = 1 𝒩 = 1 superspace.
Publisher: American Physical Society (APS)
Date: 07-01-2020
Publisher: Pleiades Publishing Ltd
Date: 09-2018
Publisher: American Physical Society (APS)
Date: 22-08-2019
Publisher: Springer Science and Business Media LLC
Date: 09-2013
Publisher: Pleiades Publishing Ltd
Date: 12-2015
Publisher: Springer Science and Business Media LLC
Date: 12-2011
Publisher: Springer Science and Business Media LLC
Date: 27-06-2008
Publisher: Springer Science and Business Media LLC
Date: 09-2015
Publisher: Springer Science and Business Media LLC
Date: 07-2019
Abstract: We present a new type of Fayet-Iliopoulos (FI) terms in $$ \\mathcal{N}=2 $$ N = 2 supergravity that do not require the gauging of the R -symmetry. We elaborate on the impact of such terms on the vacuum structure of the $$ \\mathcal{N}=2 $$ N = 2 theory and compare their properties with the standard Fayet-Iliopoulos terms that arise from gaugings. In particular, we show that, with the use of the new FI terms, models with a single physical $$ \\mathcal{N}=2 $$ N = 2 vector multiplet can be constructed that give stable de Sitter vacua.
Publisher: IOP Publishing
Date: 05-02-2010
Publisher: Springer Science and Business Media LLC
Date: 07-08-2009
Publisher: Springer Science and Business Media LLC
Date: 10-2013
Publisher: Springer Science and Business Media LLC
Date: 05-2014
Publisher: Springer Science and Business Media LLC
Date: 12-2017
Publisher: Springer Science and Business Media LLC
Date: 2014
Publisher: IOP Publishing
Date: 02-2018
Publisher: Springer Science and Business Media LLC
Date: 02-04-2009
Publisher: American Physical Society (APS)
Date: 16-02-2023
Publisher: Elsevier BV
Date: 03-2008
Publisher: Springer Science and Business Media LLC
Date: 02-04-2019
Abstract: We describe the supersymmetric completion of several curvature-squared invariants for $$ \\mathcal{N} $$ N = (1, 0) supergravity in six dimensions. The construction of the invariants is based on a close interplay between superconformal tensor calculus and recently developed superspace techniques to study general off-shell supergravity-matter couplings. In the case of minimal off-shell Poincaré supergravity based on the dilaton-Weyl multiplet coupled to a linear multiplet as a conformal compensator, we describe off-shell supersymmetric completions for all the three possible purely gravitational curvature-squared terms in six dimensions: Riemann, Ricci, and scalar curvature squared. A linear combination of these invariants describes the off-shell completion of the Gauss-Bonnet term, recently presented in arXiv:1706.09330. We study properties of the Einstein-Gauss-Bonnet super-gravity, which plays a central role in the effective low-energy description of α ′-corrected string theory compactified to six dimensions, including a detailed analysis of the spectrum about the AdS 3 × S 3 solution. We also present a novel locally superconformal invariant based on a higher-derivative action for the linear multiplet. This invariant, which includes gravitational curvature-squared terms, can be defined both coupled to the standard-Weyl or dilaton-Weyl multiplet for conformal supergravity. In the first case, we show how the addition of this invariant to the supersymmetric Einstein-Hilbert term leads to a dynamically generated cosmological constant and non-supersymmetric (A)dS 6 solutions. In the dilaton-Weyl multiplet, the new off-shell invariant includes Ricci and scalar curvaturesquared terms and possesses a nontrivial dependence on the dilaton field.
Publisher: Springer Science and Business Media LLC
Date: 03-2016
Publisher: Springer Science and Business Media LLC
Date: 05-2017
Publisher: Springer Science and Business Media LLC
Date: 10-2008
Publisher: Springer Science and Business Media LLC
Date: 2011
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: Springer Science and Business Media LLC
Date: 06-2019
Abstract: We investigate the “ $$ T\\overline{T} $$ T T ¯ ” deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the $$ T\\overline{T} $$ T T ¯ deforming operator can be constructed as a super-symmetric descendant. Here we focus on $$ \\mathcal{N} = \\left(1,0\\right) $$ N = 1 0 and $$ \\mathcal{N} = \\left(1,1\\right) $$ N = 1 1 supersymmetry. As an ex le, we analyse in detail the $$ T\\overline{T} $$ T T ¯ deformation of a free $$ \\mathcal{N} = \\left(1,0\\right) $$ N = 1 0 supersymmetric action. We also argue that the link between $$ T\\overline{T} $$ T T ¯ and string theory can be extended to su-perstrings: by analysing the light-cone gauge fixing for superstrings in flat space, we show the correspondence of the string action to the $$ T\\overline{T} $$ T T ¯ deformation of a free theory of eight $$ \\mathcal{N} = \\left(1,1\\right) $$ N = 1 1 scalar multiplets on the nose. We comment on how these constructions relate to the geometrical interpretations of $$ T\\overline{T} $$ T T ¯ deformations that have recently been discussed in the literature.
Publisher: Springer Science and Business Media LLC
Date: 03-04-2006
Publisher: American Physical Society (APS)
Date: 27-12-2017
Publisher: Springer Science and Business Media LLC
Date: 02-09-2022
Abstract: We define a new dilaton Weyl multiplet of $$ \\mathcal{N} $$ N = 2 conformal supergravity in four dimensions. This is constructed by reinterpreting the equations of motion of an on-shell hypermultiplet as constraints that render some of the fields of the standard Weyl multiplet composite. The independent bosonic components include four scalar fields and a triplet of gauge two-forms. The resulting, so-called, hyper-dilaton Weyl multiplet defines a 24 + 24 off-shell representation of the local $$ \\mathcal{N} $$ N = 2 superconformal algebra. By coupling the hyper-dilaton Weyl multiplet to an off-shell vector multiplet compensator, we obtain one of the two minimal 32 + 32 off-shell multiplets of $$ \\mathcal{N} $$ N = 2 Poincaré supergravity constructed by Müller in 1986. On-shell, this contains the minimal $$ \\mathcal{N} $$ N = 2 Poincaré supergravity multiplet together with a hypermultiplet where one of its physical scalars plays the role of a dilaton, while its three other scalars are dualised to a triplet of real gauge two-forms. Interestingly, a BF -coupling induces a scalar potential for the dilaton without a standard gauging.
Publisher: American Physical Society (APS)
Date: 10-11-2022
Publisher: Springer Science and Business Media LLC
Date: 08-2012
Publisher: Elsevier BV
Date: 10-2004
Publisher: Springer Science and Business Media LLC
Date: 05-2012
Publisher: Springer Science and Business Media LLC
Date: 03-2013
Publisher: Springer Science and Business Media LLC
Date: 18-05-2006
Publisher: Springer Science and Business Media LLC
Date: 02-2020
Abstract: The $$ T\\overline{T} $$ T T ¯ deformation of a supersymmetric two-dimensional theory preserves the original supersymmetry. Moreover, in several interesting cases the deformed theory possesses additional non-linearly realized supersymmetries. We show this for certain $$ \\mathcal{N} $$ N = (2, 2) models in two dimensions, where we observe an intriguing similarity with known $$ \\mathcal{N} $$ N = 1 models in four dimensions. This suggests that higher-dimensional models with non-linearly realized supersymmetries might also be obtained from $$ T\\overline{T} $$ T T ¯ -like flow equations. We show that in four dimensions this is indeed the case for $$ \\mathcal{N} $$ N = 1 Born-Infeld theory, as well as for the Goldstino action for spontaneously broken $$ \\mathcal{N} $$ N = 1 supersymmetry.
Publisher: Springer Science and Business Media LLC
Date: 03-2011
Start Date: 2014
End Date: 2017
Funder: Australian Research Council
View Funded ActivityStart Date: 2018
End Date: 2023
Funder: Australian Research Council
View Funded ActivityStart Date: 2007
End Date: 2008
Funder: University of Western Australia
View Funded ActivityStart Date: 2010
End Date: 2012
Funder: European Commission
View Funded ActivityStart Date: 2012
End Date: 2015
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: 06-2012
End Date: 06-2015
Amount: $375,000.00
Funder: Australian Research Council
View Funded ActivityStart Date: 10-2019
End Date: 12-2023
Amount: $703,125.00
Funder: Australian Research Council
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