2004/06/30 by Aaron Bergman, Uday Varadarajan · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/06/043
published as JHEP0506:043,2005 · 26 pages, LaTeX, utarticle.cls, v2:clarifications and refs added
arxiv created 2004/07/06 · openalex publication_date 2005/06/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We show that the data of a principal G-bundle over a principal circle bundle is equivalent to that of a 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.