Spherical T-duality and the spherical Fourier-Mukai transform

doi:10.1016/j.geomphys.2018.07.020

	Spherical T-duality and the spherical Fourier-Mukai transform
	Bouwknegt, Peter 1; Evslin, Jarah 2; Mathai, Varghese 3
刊名	JOURNAL OF GEOMETRY AND PHYSICS
	2018-11
卷号	133 页码:303-314
关键词	Spherical T-duality Oriented sphere bundles Poincare virtual line bundle Spherical Fourier-Mukai transform Higher twisted K-theory
ISSN号	0393-0440
DOI	10.1016/j.geomphys.2018.07.020
英文摘要	In Bouwknegt et al. (2015) [3, 4], we introduced spherical T-duality, which relates pairs of the form (P, H) consisting of an oriented S-3-bundle P -> M and a 7-cocycle H on P called the 7-flux. Intuitively, the spherical T-dual is another such pair (P, H) and spherical T-duality exchanges the 7-flux with the Euler class, upon fixing the Pontryagin class and the second Stiefel-Whitney class. Unless dim(M) <= 4, not all pairs admit spherical T-duals and the spherical T-duals are not always unique. In this paper, we define a canonical Poincare virtual line bundle P on S-3 x S-3 (actually also for S-n x S-n) and the spherical Fourier-Mukai transform, which implements a degree shifting isomorphism in K-theory on the trivial S-3-bundle. This is then used to prove that all spherical T-dualities induce natural degree-shifting isomorphisms between the 7-twisted K-theories of the pairs (P, H) and((P) over cap, (H) over cap) when dim(M) <= 4, improving our earlier results. (C) 2018 Elsevier B.V. All rights reserved.
资助项目	Australian Laureate Fellowship, Australia[FL170100020]
WOS关键词	TOPOLOGY
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000447110800023
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/64398]
专题	中国科学院近代物理研究所
通讯作者	Bouwknegt, Peter
作者单位	1.Australian Natl Univ, Inst Math Sci, Canberra, ACT 2601, Australia 2.Chinese Acad Sci, Inst Modern Phys, High Energy Nucl Phys Grp, Lanzhou, Gansu, Peoples R China 3.Univ Adelaide, Sch Math Sci, Dept Pure Math, Adelaide, SA 5005, Australia
推荐引用方式 GB/T 7714	Bouwknegt, Peter,Evslin, Jarah,Mathai, Varghese. Spherical T-duality and the spherical Fourier-Mukai transform[J]. JOURNAL OF GEOMETRY AND PHYSICS,2018,133:303-314.
APA	Bouwknegt, Peter,Evslin, Jarah,&Mathai, Varghese.(2018).Spherical T-duality and the spherical Fourier-Mukai transform.JOURNAL OF GEOMETRY AND PHYSICS,133,303-314.
MLA	Bouwknegt, Peter,et al."Spherical T-duality and the spherical Fourier-Mukai transform".JOURNAL OF GEOMETRY AND PHYSICS 133(2018):303-314.