The stability of unsteady fluid flows in channels and pipes. The main benefit from this project will be a better theoretical understanding of the stability properties of unsteady fluid flows. The theoretical results obtained would help guide future experimental
investigations into the paths to turbulence in unsteady flows and would be a basis for future research in the increasingly important area of flow stability control. The project will also provide advanced training and skills transfer in a ....The stability of unsteady fluid flows in channels and pipes. The main benefit from this project will be a better theoretical understanding of the stability properties of unsteady fluid flows. The theoretical results obtained would help guide future experimental
investigations into the paths to turbulence in unsteady flows and would be a basis for future research in the increasingly important area of flow stability control. The project will also provide advanced training and skills transfer in an important area of fluid mechanics research.
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Quantum and Geometric Aspects of Gauge Theories, Supergravity and String Theory. A central problem of modern high-energy physics is the unification of gravity with the other fundamental interactions that is consistent at the quantum level. Led by a team of internationally recognized experts, this project will yield breakthroughs in supergravity and string theory - crucial ingredients of current approaches to unification. As well as putting Australia at the forefront of this mainstream activity, ....Quantum and Geometric Aspects of Gauge Theories, Supergravity and String Theory. A central problem of modern high-energy physics is the unification of gravity with the other fundamental interactions that is consistent at the quantum level. Led by a team of internationally recognized experts, this project will yield breakthroughs in supergravity and string theory - crucial ingredients of current approaches to unification. As well as putting Australia at the forefront of this mainstream activity, a fertile environment will be provided for the training of graduate students. They will be ideally placed to lead Australia's involvement in the revolution sparked by the expected experimental confirmation of supersymmetry with the Large Hadron Collider. Read moreRead less
Progress in Supersymmetry and Supergravity: Continuing Einstein's Legacy. 2005 is the International Year of Physics in recognition of Einstein's revolutionary contributions. His unfinished quest for a unified description of Nature has become the hottest topic in modern physics. Led by a team of internationally recognized experts, this project will yield breakthroughs in supersymmetry and supergravity - crucial ingredients of current approaches to unification. As well as putting Australia at the ....Progress in Supersymmetry and Supergravity: Continuing Einstein's Legacy. 2005 is the International Year of Physics in recognition of Einstein's revolutionary contributions. His unfinished quest for a unified description of Nature has become the hottest topic in modern physics. Led by a team of internationally recognized experts, this project will yield breakthroughs in supersymmetry and supergravity - crucial ingredients of current approaches to unification. As well as putting Australia at the forefront of this mainstream activity, a fertile environment will be provided for the training of graduate students. They will be ideally placed to lead Australia's involvement in the revolution sparked by the expected experimental confirmation of supersymmetry with the next generation of particle accelerators.Read moreRead less
Low Energy Effective Actions in Supersymmetric Gauge Theories. The quest for a unified quantum theory of all the fundamental interactions of Nature, including gravity, is a major goal of modern physics. Superstring theory is at present the only plausible candidate. This theory makes nontrivial predictions (non-renormalization theorems) about the low energy structure of certain supersymmetric gauge theories (the Standard Model of particle physics is a special gauge theory). This project will deve ....Low Energy Effective Actions in Supersymmetric Gauge Theories. The quest for a unified quantum theory of all the fundamental interactions of Nature, including gravity, is a major goal of modern physics. Superstring theory is at present the only plausible candidate. This theory makes nontrivial predictions (non-renormalization theorems) about the low energy structure of certain supersymmetric gauge theories (the Standard Model of particle physics is a special gauge theory). This project will develop new tools for the computation of low energy effective actions, which will then be used for a detailed analysis of the non-renormalization theorems governing the low energy dynamics of supersymmetric gauge theories. This research is at the forefront of modern particle physics.Read moreRead less
Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication i ....Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication industries. In addition to efficient solution methods
for these problems the project will produce computational tools for
a wide range of related network routing problems.Read moreRead less
Robust Reformulation Methods. Many decision problems in engineering, business and economics are modeled as nonlinear continuous optimization problems. Often these are made difficult by the existence of constraints. In this project, we reformulate such problems as constrained nonsmooth equations, rather than optimization problems, and develop generalized Newton and quasi-Newton methods for solving them. The expected outcomes of this project include a systematic theory of reformulation methods, ....Robust Reformulation Methods. Many decision problems in engineering, business and economics are modeled as nonlinear continuous optimization problems. Often these are made difficult by the existence of constraints. In this project, we reformulate such problems as constrained nonsmooth equations, rather than optimization problems, and develop generalized Newton and quasi-Newton methods for solving them. The expected outcomes of this project include a systematic theory of reformulation methods, and robust and efficient algorithms for solving some important nonlinear continuous optimization problems. There is high potential for applications in engineering, business and finance.Read moreRead less
Advances in Conformal Field Theory with Extended Symmetry. This project aims to develop novel methods to formulate conformal field theories with extended symmetry that are important in variety of applications ranging from pure mathematics to phenomenology of elementary particles. The project expects to advance our knowledge in the most challenging areas of modern theoretical physics - Quantum Gravity and physics beyond the Standard Model of particle physics. Its expected outcomes will include co ....Advances in Conformal Field Theory with Extended Symmetry. This project aims to develop novel methods to formulate conformal field theories with extended symmetry that are important in variety of applications ranging from pure mathematics to phenomenology of elementary particles. The project expects to advance our knowledge in the most challenging areas of modern theoretical physics - Quantum Gravity and physics beyond the Standard Model of particle physics. Its expected outcomes will include conceptual results of major significance for modern theoretical and mathematical physics, thus placing Australia at the forefront of this research. A rich intellectual environment will be provided for training Australian PhD students by internationally recognised experts.
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Novel Conformal Techniques in Quantum Field Theory, Gravity and Supergravity. Conformal symmetry is the maximal spacetime symmetry in relativistic quantum theory. This project will explore the dynamics of those quantum field theories and matter-coupled gravity theories that possess conformal symmetry and have recently been the focus of enormous interest worldwide. Its scientific outcomes will include a deeper understanding of Wilson loops in Yang-Mills theories, scattering amplitudes in conforma ....Novel Conformal Techniques in Quantum Field Theory, Gravity and Supergravity. Conformal symmetry is the maximal spacetime symmetry in relativistic quantum theory. This project will explore the dynamics of those quantum field theories and matter-coupled gravity theories that possess conformal symmetry and have recently been the focus of enormous interest worldwide. Its scientific outcomes will include a deeper understanding of Wilson loops in Yang-Mills theories, scattering amplitudes in conformal gravity and supergravity as well as other conceptual results of major importance to modern mathematical physics, thus placing Australia at the forefront of this research. A rich intellectual environment will be provided for training of Australian PhD students by internationally recognised experts. Read moreRead less
Conformal Field Theories with Higher Spin Symmetry and Duality Invariance. This project aims to develop novel methods to study conformal field theories with higher spin symmetry and duality invarianvce that are important in variety of applications ranging from cosmology to phenomenology of elementary particles. The project expects to advance our knowledge in one of the most challenging areas of modern theoretical physics - Quantum Gravity and physics beyond the Standard Model of particle physics ....Conformal Field Theories with Higher Spin Symmetry and Duality Invariance. This project aims to develop novel methods to study conformal field theories with higher spin symmetry and duality invarianvce that are important in variety of applications ranging from cosmology to phenomenology of elementary particles. The project expects to advance our knowledge in one of the most challenging areas of modern theoretical physics - Quantum Gravity and physics beyond the Standard Model of particle physics. Its expected outcomes will be new conceptual results of major significance for modern theoretical and mathematical physics, thus placing Australia at the forefront of this research. Benefits will include a rich intellectual environment for training Australian PhD students by internationally recognised experts.
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Advances in HIgher Spin Gauge Theory. This project aims to explore the dynamical and geometrical aspects of higher spin gauge theory that have recently become the focus of enormous interest worldwide. Higher spin gauge theory is a unique generalisation of Einstein’s gravitation theory, which possesses maximal gauge symmetry and is a novel candidate for quantum gravity. Expected project outcomes include a better understanding of higher-spin interaction vertices, correlation functions, and other c ....Advances in HIgher Spin Gauge Theory. This project aims to explore the dynamical and geometrical aspects of higher spin gauge theory that have recently become the focus of enormous interest worldwide. Higher spin gauge theory is a unique generalisation of Einstein’s gravitation theory, which possesses maximal gauge symmetry and is a novel candidate for quantum gravity. Expected project outcomes include a better understanding of higher-spin interaction vertices, correlation functions, and other conceptual results of major importance to mathematical physics.Read moreRead less