Loop Groups, Kaluza-Klein Reduction and M-Theory

Details Loop Groups, Kaluza-Klein Reduction and M-Theory Loop Groups, Kaluza-Klein Reduction and M-Theory

2004-06-24

arxiv.org/abs/hep-th/0406218v2

JHEP0506:043,2005

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX, utarticle.cls, v2:clarifications and refs added

Scientific paper

10.1088/1126-6708/2005/06/043

We show that the data of a principal G-bundle over a principal circle bundle is equivalent to that of a \hat{LG} = U(1) |x LG bundle over the base of the circle bundle. We apply this to the Kaluza-Klein reduction of M-theory to IIA and show that certain generalized characteristic classes of the loop group bundle encode the Bianchi identities of the antisymmetric tensor fields of IIA supergravity. We further show that the low dimensional characteristic classes of the central extension of the loop group encode the Bianchi identities of massive IIA, thereby adding support to the conjectures of hep-th/0203218.

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