Chern Character in Twisted K-Theory: Equivariant and Holomorphic Cases |
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Authors: | Mathai Varghese Stevenson Danny |
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Institution: | (1) Department of Pure Mathematics, University of Adelaide, Adelaide, SA 5005, Australia. E-mail: vmathai@maths.adelaide.edu.au; dstevens@maths.adelaide.edu.au, AU |
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Abstract: | It was argued in 25, 5] that in the presence of a nontrivial B-field, D-brane charges in type IIB string theories are classified by twisted K-theory. In 4], it was proved that twisted K-theory is canonically isomorphic to bundle gerbe K-theory, whose elements are ordinary Hilbert bundles on a principal projective unitary bundle, with an action of the bundle
gerbe determined by the principal projective unitary bundle. The principal projective unitary bundle is in turn determined
by the twist. This paper studies in detail the Chern-Weil representative of the Chern character of bundle gerbe K-theory that was introduced in 4], extending the construction to the equivariant and the holomorphic cases. Included is a
discussion of interesting examples.
Received: 10 January 2002 / Accepted: 9 December 2002
Published online: 25 February 2003
RID="⋆"
ID="⋆" The authors acknowledge the support of the Australian Research Council
Communicated by R.H. Dijkgraaf |
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