On the Topology and Flux of T-Dual Manifolds

Details On the Topology and Flux of T-Dual Manifolds On the Topology and Flux of T-Dual Manifolds

2003-12-04

arxiv.org/abs/hep-th/0312052v2

Phys.Rev.Lett. 92 (2004) 181601

Physics

High Energy Physics

High Energy Physics - Theory

4 Pages, No Figures

Scientific paper

10.1103/PhysRevLett.92.181601

We present a general formula for the topology and H-flux of the T-dual of a type two compactification. Our results apply to T-dualities with respect to any free circle action. In particular we find that the manifolds on each side of the duality are circle bundles whose curvatures are given by the integral of the dual H-flux over the dual circle. As a corollary we conjecture an obstruction to multiple T-dualities, generalizing an obstruction known to exist on the twisted torus. Examples include SU(2) WZW models, Lens spaces and the supersymmetric string theory on the non-spin AdS^5xCP^2xS^1 compactification.

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