T-Duality for Principal Torus Bundles and Dimensionally Reduced Gysin Sequences
Date
2005
Authors
Bouwknegt, Pier (Peter)
Hannabuss, Keith
Mathai, Varghese
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Publisher
International Press
Abstract
We reexamine the effects of T-duality on the global properties for principal circle bundles in the context of a dimensionally reduced Gysin sequence. We then construct a Gysin sequence for principal torus bundles and examine the consequences. In particular, we 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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Source
Advances in Theoretical and Mathematical Physics
Type
Journal article