Topology and Flux of T-Dual Manifolds with Circle Actions |
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Authors: | Varghese Mathai Siye Wu |
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Institution: | 1. Department of Pure Mathematics, University of Adelaide, Adelaide, 5005, Australia 2. Department of Mathematics, University of Hong Kong, Pokfulam Road, Hong Kong, China.
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Abstract: | We present an explicit formula for the topology and H-flux of the T-dual of a general type II, compactification, significantly generalizing earlier results. Our results apply to T-dualities with respect to any circle action on spacetime X. As before, T-duality exchanges type IIA and type IIB string theories. A new consequence is that the T-dual spacetime is a singular space when the fixed point set ${X^\mathbb{T}}$ is non-empty; the singularities correspond to Kaluza-Klein monopoles. We propose that the Ramond-Ramond charges of type II string theories on the singular dual are classified by twisted equivariant cohomology groups. We also discuss the K-theory approach. |
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