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. 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.

arXiv comment14 pages, spherical T-duality of Aloff-Wallach spaces with 7-flux included in Section 4

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• Twisted iterated algebraic K-theory and topological T-duality for sphere bundles
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• Topological T-duality via Lie algebroids and $Q$-flux in Poisson-generalized geometry
• Exotic Spheres' Metrics and Solutions via Kaluza-Klein Techniques
• An upper bound on the LS-category in presence of the fundamental group
• On the Chern character in Higher Twisted K-theory and spherical T-duality
• Computations in higher twisted $K$-theory