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.
Read moreRead less
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.
Read moreRead less
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
Supersymmetry and supergravity: new approaches and applications. This project aims to advance our understanding of supersymmetric quantum field, gravity, and higher-spin theories. Supersymmetry and supergravity play crucial roles in modern developments in fundamental particle physics and cosmology. They also have rich connections with many branches of mathematical physics. Major conceptual questions in the description of general supergravity-matter couplings are still unsolved. By performing sta ....Supersymmetry and supergravity: new approaches and applications. This project aims to advance our understanding of supersymmetric quantum field, gravity, and higher-spin theories. Supersymmetry and supergravity play crucial roles in modern developments in fundamental particle physics and cosmology. They also have rich connections with many branches of mathematical physics. Major conceptual questions in the description of general supergravity-matter couplings are still unsolved. By performing state of the art analysis in supergravity and holographic dualities, the project will advance our understanding of quantum gravity, black holes, and cosmology placing Australia at the forefront of these important research fields.Read moreRead less
Relating string theory and particle physics. Currently, string theory is the only consistent candidate to provide unification of gravity with the other fundamental interactions. This project will discover a deeper interplay between string theory and elementary particle physics that would bring string theory closer to the real world.
Discovery Early Career Researcher Award - Grant ID: DE120101498
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Superspace and dualities in supersymmetric field theories, supergravity and string theory. Supersymmetry, supergravity and string theory have represented the most promising frontiers of high-energy theoretical physics. This project will develop new techniques and explore novel dynamical features at the forefront of some of the most exiting fields of fundamental physics.
Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will en ....Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will enhance Australia's reputation in this cutting edge research, and contribute to achieving optimal performance of high commercial and environmental value applications. It will also facilitate international collaboration, and provide an excellent opportunity for research training.Read moreRead less
A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems. Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient ....A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems. Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient computational algorithms and software packages for stabilizing controls and optimal controls of impulsive control problems. The outcomes will enhance Australia's reputation for leading edge research and facilitate opportunity for international collaboration. It will also provide an excellent opportunity for research training.Read moreRead less
Numerical Algorithms for Constructing Feedback Control Laws. Many decision making problems in engineering, finance and management are governed by optimal feedback control systems. These systems are normally too complex to be solved by conventional numerical methods. In this project, we propose to develop novel numerical algorithms for constructing feedback control laws. We will also investigate the procatical significance of these algorithms for solving real-world problems. The outcome of the pr ....Numerical Algorithms for Constructing Feedback Control Laws. Many decision making problems in engineering, finance and management are governed by optimal feedback control systems. These systems are normally too complex to be solved by conventional numerical methods. In this project, we propose to develop novel numerical algorithms for constructing feedback control laws. We will also investigate the procatical significance of these algorithms for solving real-world problems. The outcome of the project will provide efficient and accurate tools for constructing feedback laws in high dimensions.Read moreRead less