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On the Topology and Flux of T-Dual Manifolds

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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 AdS^5xCP^2xS^1 compactification.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Stringy T-duality on the lattice and the twisted Villain model hep-th · 2026-05-19 · unverdicted · none · ref 17 · internal anchor

    Introduces the twisted Villain model to realize exact T-duality on the lattice for fibred manifolds, recovering bundle-flux exchange and defining topological defects via half-gauging.