A new approach to topological T-duality for principal torus bundles
Geometric Topology
2024-07-08 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We introduce a new `Thom class' formulation of topological T-duality for principal torus bundles. This definition is equivalent to the established one of Bunke, Rumpf, and Schick but has the virtue of removing the global assumptions on the H-flux required in the old definition. With the new definition, we provide easier and more transparent proofs of the classification of T-duals and generalise the local formulation of T-duality for circle bundles by Bunke, Schick, and Spitzweck to the torus case.
Cite
@article{arxiv.2104.05984,
title = {A new approach to topological T-duality for principal torus bundles},
author = {Tom Dove and Thomas Schick},
journal= {arXiv preprint arXiv:2104.05984},
year = {2024}
}
Comments
29 pages. v2: final version with spelling corrections and added reference, accepted in Reviews in Mathematical Physics