T-duality for principal torus bundles and dimensionally reduced Gysin sequences

Details T-duality for principal torus bundles and dimensionally reduced Gysin sequences T-duality for principal torus bundles and dimensionally reduced Gysin sequences

2004-12-22

arxiv.org/abs/hep-th/0412268v2

Adv.Theor.Math.Phys.9:749-773,2005

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, typos corrected

Scientific paper

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.

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