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Spherical T-Duality

Bouwknegt, Pier (Peter); Evslin, Jarah; Mathai, Varghese


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...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Communications in Mathematical Physics
DOI: 10.1007/s00220-015-2354-4


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