Topology and Flux of T-Dual Manifolds with Circle Actions
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2012
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Varghese, M.
Wu, S.
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Communications in Mathematical Physics, 2012; 316(1):279-286
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Varghese Mathai, Siye Wu
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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.
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© Springer-Verlag 2012