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Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles
Affiliation:1. Mathematical Sciences Institute, The Australian National University, Acton, Canberra, ACT 2601, Australia;2. Department of Theoretical Physics, Research School of Physics and Engineering, The Australian National University, Acton, Canberra, ACT 2601, Australia;3. High Energy Nuclear Physics Group, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, China;4. Department of Pure Mathematics, University of Adelaide, Adelaide, SA 5005, Australia
Abstract:Recently we initiated the study of spherical T-duality for spacetimes that are principal SU(2)-bundles (Bouwknegt et al., 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:Spherical T-duality  Non-principal SU(2)-bundles  Twisted cohomology  Twisted K-theory  Gysin sequence  Sasakian manifolds
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