2003/02/12 by Jarah Evslin · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bundle #Cohomology #Flux (metallurgy) #Homotopy and Cohomology in Algebraic Topology #Monodromy #Noncommutative and Quantum Gravity Theories #Orbifold #hep-th
paper · pdf · doi:10.1088/1126-6708/2003/05/030
published as JHEP 0305 (2003) 030 · 24 Pages, 6 eps figures
arxiv created 2003/02/12 · openalex publication_date 2003/05/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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.