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

Peter Bouwknegt; Keith Hannabuss; Varghese Mathai

doi:10.4310/ATMP.2005.v9.n5.a4

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

Peter Bouwknegt^*, Keith Hannabuss, Varghese Mathai

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

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.

Original language	English
Pages (from-to)	749-773
Number of pages	25
Journal	Advances in Theoretical and Mathematical Physics
Volume	9
Issue number	5
DOIs	https://doi.org/10.4310/ATMP.2005.v9.n5.a4
Publication status	Published - Oct 2005

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10.4310/ATMP.2005.v9.n5.a4

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

Abstract

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