Generalized geometry, T-duality and mirror symmetry

Supervisor

Prof. Peter Bouwknegt Phone: 6125 2969

T-duality, in its simplest form, is the R to 1/R symmetry of String Theory compactified on a circle of radius R. It can be generalized to manifolds which admit circle actions (e.g. circle bundles) or, more generally, torus actions. In the case of nontrivial torus bundles, and in the background of H-flux, T-duality relates manifolds of different topology and can even map to noncommutative geometries. The purpose of this project is to study these phenomena (as well as the closely related “mirror symmetry”) in the context of Hitchin’s `generalized geometry’.