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 XT 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. © 2012 Springer-Verlag.
CITATION STYLE
Mathai, V., & Wu, S. (2012). Topology and Flux of T-Dual Manifolds with Circle Actions. Communications in Mathematical Physics, 316(1), 279–286. https://doi.org/10.1007/s00220-012-1542-8
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