Schedule Apr 29, 2004
Chaos and KS
Dr. Chris Herzog, KITP

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 circle bundles, and in the background of H-flux, T-duality relates manifolds of different topology and in particular provides isomorphisms between the twisted cohomologies and twisted K-theories of these manifolds. In this talk we will discuss these developments as well as provide some examples. We will also discuss the obstruction to T-dualizing higher dimensional torii in the background of H-flux.

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