Website
http://dataportal.arc.gov.au/NCGP/API/grants/DE170100149
Funding Status
Closed
Does something not look right? The information on this page has been harvested from data sources that may not be up to date. We continue to work with information providers to improve coverage and quality. To report an issue, use the Feedback Form.
Funded Activity Summary
T-duality and K-theory: Unity of condensed matter and string theory. This project aims to uncover deep mathematical structures which underlie recent discoveries at the forefront of string theory and condensed matter physics, using K-theory and T-duality as guiding themes. Inspired by string theory, T-duality techniques and geometric Fourier-Mukai transforms will be developed to study topological phases of matter. Similarly, topological materials motivate the detailed study of real twisted K-theory and T-duality, which are then applicable to orientifold string theories. Anticipated outcomes include a deeper understanding of the theory of topological materials and its connection to string theory, and well-motivated mathematics widely applicable to the physical sciences. This understanding paves the way for novel technological applications.Funded Activity Details
Start Date: 04-2017
End Date: 06-2020
Funding Scheme: Discovery Early Career Researcher Award
Funding Amount: $357,000.00
Funder: Australian Research Council
Research Topics
ANZSRC Field of Research (FoR)
Category Theory, K Theory, Homological Algebra | Operator Algebras and Functional Analysis | Pure Mathematics | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory |
ANZSRC Socio-Economic Objective (SEO)
Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences
