Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles

Peter Bouwknegt; Jarah Evslin; Varghese Mathai

doi:10.1016/j.geomphys.2015.02.003

Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles

Peter Bouwknegt, Jarah Evslin, Varghese Mathai^*

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

Recently we initiated the study of spherical T-duality for spacetimes that are principal SU(2)-bundles (Bouwknegt etal., to appear). In this paper, we extend spherical T-duality to spacetimes that are oriented non-principal SU(2)-bundles. There are several interesting new examples in this case and a new phenomenon appearing in the non-principal case is the existence of infinitely many spherical T-duals.

Original language	English
Pages (from-to)	46-54
Number of pages	9
Journal	Journal of Geometry and Physics
Volume	92
DOIs	https://doi.org/10.1016/j.geomphys.2015.02.003
Publication status	Published - 1 Jun 2015

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title = "Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles",

abstract = "Recently we initiated the study of spherical T-duality for spacetimes that are principal SU(2)-bundles (Bouwknegt etal., to appear). In this paper, we extend spherical T-duality to spacetimes that are oriented non-principal SU(2)-bundles. There are several interesting new examples in this case and a new phenomenon appearing in the non-principal case is the existence of infinitely many spherical T-duals.",

keywords = "Gysin sequence, Non-principal SU(2)-bundles, Sasakian manifolds, Spherical T-duality, Twisted K-theory, Twisted cohomology",

author = "Peter Bouwknegt and Jarah Evslin and Varghese Mathai",

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T2 - An infinity of spherical T-duals for non-principal SU(2)-bundles

AU - Bouwknegt, Peter

AU - Evslin, Jarah

AU - Mathai, Varghese

PY - 2015/6/1

Y1 - 2015/6/1

N2 - Recently we initiated the study of spherical T-duality for spacetimes that are principal SU(2)-bundles (Bouwknegt etal., to appear). In this paper, we extend spherical T-duality to spacetimes that are oriented non-principal SU(2)-bundles. There are several interesting new examples in this case and a new phenomenon appearing in the non-principal case is the existence of infinitely many spherical T-duals.

AB - Recently we initiated the study of spherical T-duality for spacetimes that are principal SU(2)-bundles (Bouwknegt etal., to appear). In this paper, we extend spherical T-duality to spacetimes that are oriented non-principal SU(2)-bundles. There are several interesting new examples in this case and a new phenomenon appearing in the non-principal case is the existence of infinitely many spherical T-duals.

KW - Gysin sequence

KW - Non-principal SU(2)-bundles

KW - Sasakian manifolds

KW - Spherical T-duality

KW - Twisted K-theory

KW - Twisted cohomology

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VL - 92

SP - 46

EP - 54

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles

Abstract

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