Chern character in twisted K-theory: equivariant and holomorphic cases

Details Chern character in twisted K-theory: equivariant and holomorphic cases Chern character in twisted K-theory: equivariant and holomorphic cases

2002-01-03

arxiv.org/abs/hep-th/0201010v5

Commun.Math.Phys. 236 (2003) 161-186

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, Latex2e. To appear in CMP

Scientific paper

10.1007/s00220-003-0807-7

It has been argued by Witten and others that in the presence of a nontrivial B-field, D-brane charges in type IIB string theories are measured by twisted K-theory. In joint work with Bouwknegt, Carey and Murray it was proved that twisted K-theory is canonically isomorphic to bundle gerbe K-theory, whose elements are ordinary vector 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. In this paper, we study in more detail the Chern-Weil representative of the Chern character of bundle gerbe K-theory that was introduced previously, and we also extend it to the equivariant and holomorphic cases. Included is a discussion of interesting examples.

Affiliated with

Also associated with

No associations

Rating

Chern character in twisted K-theory: equivariant and holomorphic cases does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chern character in twisted K-theory: equivariant and holomorphic cases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chern character in twisted K-theory: equivariant and holomorphic cases will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-521148