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D-branes, B-fields and twisted K-theory

P. Bouwknegt, V. Mathai

hep-tharXiv:hep-th/0002023

Abstract

In this note we propose that D-brane charges, in the presence of a topologically non-trivial B-field, are classified by the K-theory of an infinite dimensional C*-algebra. In the case of B-fields whose curvature is pure torsion our description is shown to coincide with that of Witten.

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