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

JOURNAL OF GEOMETRY AND PHYSICS

卷:92

Article

Bouwknegt, Peter^2,3  Evslin, Jarah⁴  Mathai, Varghese¹ 

[1] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia

[2] Australian Natl Univ, Inst Math Sci, Canberra, ACT 2601, Australia

[3] Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 2601, Australia

[4] Chinese Acad Sci, Inst Modem Phys, High Energy Nucl Phys Grp, Lanzhou, Peoples R China

关键词: Spherical T-duality;    Non-principal SU(2)-bundles;    Twisted cohomology;    Twisted K-theory;    Gysin sequence;    Sasakian manifolds;   

DOI  :  10.1016/j.geomphys.2015.02.003

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier B.V. All rights reserved.

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