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Communications in Mathematical Physics

, Volume 316, Issue 1, pp 279–286 | Cite as

Topology and Flux of T-Dual Manifolds with Circle Actions

  • Varghese Mathai
  • Siye Wu
Article

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.

Keywords

High Energy Phys Equivariant Cohomology Circle Action Singular Space Intersection Cohomology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Department of Pure MathematicsUniversity of AdelaideAdelaideAustralia
  2. 2.Department of MathematicsUniversity of Hong KongHong KongChina.

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