Spherical T-Duality

Peter Bouwknegt; Jarah Evslin; Varghese Mathai

doi:10.1007/s00220-015-2354-4

Spherical T-Duality

Peter Bouwknegt, Jarah Evslin, Varghese Mathai^*

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

We introduce spherical T-duality, which relates pairs of the form (P, H) consisting of a principal SU(2)-bundle (Formula presented.) and a 7-cocycle H on P. Intuitively spherical T-duality exchanges H with the second Chern class c₂(P). Unless (Formula presented.), not all pairs admit spherical T-duals and the spherical T-duals are not always unique. Nonetheless, we prove that all spherical T-dualities induce a degree-shifting isomorphism on the 7-twisted cohomologies of the bundles and, when (Formula presented.), also their integral twisted cohomologies and, when (Formula presented.), even their 7-twisted K-theories. While spherical T-duality does not appear to relate equivalent string theories, it does provide an identification between conserved charges in certain distinct IIB supergravity and string compactifications.

Original language	English
Pages (from-to)	909-954
Number of pages	46
Journal	Communications in Mathematical Physics
Volume	337
Issue number	2
DOIs	https://doi.org/10.1007/s00220-015-2354-4
Publication status	Published - 1 Jul 2015

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Spherical T-Duality

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