T-duality for principal torus bundles and dimensionally reduced Gysin sequences
High Energy Physics - Theory
2008-11-26 v2
Abstract
We reexamine the results on the global properties of T-duality for principal circle bundles in the context of a dimensionally reduced Gysin sequence. We will then construct a Gysin sequence for principal torus bundles and examine the consequences. In particular, we will argue that the T-dual of a principal torus bundle with nontrivial H-flux is, in general, a continuous field of noncommutative, nonassociative tori.
Keywords
Cite
@article{arxiv.hep-th/0412268,
title = {T-duality for principal torus bundles and dimensionally reduced Gysin sequences},
author = {Peter Bouwknegt and Keith Hannabuss and Varghese Mathai},
journal= {arXiv preprint arXiv:hep-th/0412268},
year = {2008}
}
Comments
21 pages, typos corrected