Twisted K-Theory from Monodromies

Details Twisted K-Theory from Monodromies Twisted K-Theory from Monodromies

2003-02-12

arxiv.org/abs/hep-th/0302081v1

JHEP 0305 (2003) 030

Physics

High Energy Physics

High Energy Physics - Theory

24 Pages, 6 eps figures

Scientific paper

10.1088/1126-6708/2003/05/030

RR fluxes representing different cohomology classes may correspond to the same twisted K-theory class. We argue that such fluxes are related by monodromies, generalizing and sometimes T-dual to the familiar monodromies of a D7-brane. A generalized theta angle is also transformed, but changes by a multiple of 2pi. As an application, NS5-brane monodromies modify the twisted K-theory classification of fluxes. Furthermore, in the noncompact case K-theory does not distinguish flux configurations in which dG is nontrivial in compactly supported cohomology. Such fluxes are realized as the decay products of unstable D-branes that wrapped nontrivial cycles. This is interpreted using the E8 bundle formalism.

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