Topological T-duality for torus bundles with monodromy

Author:

Baraglia David1

Affiliation:

1. School of Mathematical Sciences, The University of Adelaide, Adelaide, South Australia 5005, Australia

Abstract

We give a simplified definition of topological T-duality that applies to arbitrary torus bundles. The new definition does not involve Chern classes or spectral sequences, only gerbes and morphisms between them. All the familiar topological conditions for T-duals are shown to follow. We determine necessary and sufficient conditions for existence of a T-dual in the case of affine torus bundles. This is general enough to include all principal torus bundles as well as torus bundles with arbitrary monodromy representations. We show that isomorphisms in twisted cohomology, twisted K-theory and of Courant algebroids persist in this general setting. We also give an example where twisted K-theory groups can be computed by iterating T-duality.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The geometry and DSZ quantization four-dimensional supergravity;Letters in Mathematical Physics;2022-12-30

2. Monodromy of rank 2 twisted Hitchin systems and real character varieties;Transactions of the American Mathematical Society;2018-02-28

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