Type I D-branes in an H-flux and twisted KO-theory

Abstract

Witten has argued that charges of Type I D-branes in the presence of an H-flux, take values in twisted KO-theory. We begin with the study of real bundle gerbes and their holonomy. We then introduce the notion of real bundle gerbe KO-theory which we establish is a geometric realization of twisted KO-theory. We examine the relation with twisted K-theory, the Chern character and provide some examples. We conclude with some open problems.

arXiv comment23 pages, Latex2e, 2 new references added

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Cited by in corpus (9)

• Non-Abelian tensor Berry connections in multi-band topological systems
• Type II Actions from 11-Dimensional Chern-Simons Theories
• Twisted topological structures related to M-branes
• A Higher Twist in String Theory
• Topological Quantum Field Theory on Non-Abelian Gerbes
• On groupoids with involutions and their cohomology
• Twisted K-theory and obstructions against positive scalar curvature metrics
• Geometric cycles, index theory and twisted K-homology
• Twisted differential KO-theory