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Type: Journal article
Title: Chern character in twisted K-theory: Equivariant and holomorphic cases
Author: Varghese, M.
Stevenson, D.
Citation: Communications in Mathematical Physics, 2003; 236(1):161-186
Publisher: Springer-Verlag
Issue Date: 2003
ISSN: 0010-3616
Statement of
Varghese Mathai and Danny Stevenson
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.
Description: The original publication is available at
DOI: 10.1007/s00220-003-0807-7
Published version:
Appears in Collections:Aurora harvest
Pure Mathematics publications

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