Twisted K-theory from monodromies
Abstract
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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- May 2003
- DOI:
- 10.1088/1126-6708/2003/05/030
- arXiv:
- arXiv:hep-th/0302081
- Bibcode:
- 2003JHEP...05..030E
- Keywords:
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- Field Theories in Higher Dimensions Solitons Monopoles and Instantons Chern-Simons Theories M-Theory;
- High Energy Physics - Theory
- E-Print:
- 24 Pages, 6 eps figures