On the Topology and Flux of T-Dual Manifolds

2003/12/31 by Peter Bouwknegt, Jarah Evslin, Varghese Mathai
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevlett.92.181601

published as Phys.Rev.Lett. 92 (2004) 181601 · 4 Pages, No Figures

arxiv created 2004/02/17 · arxiv updated 2009/12/01

Abstract

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 AdS⁵xCP²xS¹ compactification.

Related

• A Tour of T-duality: Geometric and Topological Aspects of T-dualities
• T-duality for principal torus bundles
• M Theory Extensions of T Duality
• The H-flux on flag manifolds generated by infinitesimal T-duality
• Non-principal T-duality, generalized complex geometry and blow-ups