Fusion of symmetric $D$-branes and Verlinde rings

Details Fusion of symmetric $D$-branes and Verlinde rings Fusion of symmetric $D$-branes and Verlinde rings

2005-05-14

arxiv.org/abs/math-ph/0505040v2

Commun.Math.Phys.277:577-625,2008

Physics

Mathematical Physics

43 pages, xy-pic diagrams; Proof of Prop. 6.17 clarified and references added

Scientific paper

10.1007/s00220-007-0399-8

We explain how multiplicative bundle gerbes over a compact, connected and simple Lie group $G$ lead to a certain fusion category of equivariant bundle gerbe modules given by pre-quantizable Hamiltonian $LG$-manifolds arising from Alekseev-Malkin-Meinrenken's quasi-Hamiltonian $G$-spaces. The motivation comes from string theory namely, by generalising the notion of $D$-branes in $G$ to allow subsets of $G$ that are the image of a $G$-valued moment map we can define a `fusion of $D$-branes' and a map to the Verlinde ring of the loop group of $G$ which preserves the product structure. The idea is suggested by the theorem of Freed-Hopkins-Teleman. The case where $G$ is not simply connected is studied carefully in terms of equivariant bundle gerbe modules for multiplicative bundle gerbes.

Affiliated with

Also associated with

No associations

Rating

Fusion of symmetric $D$-branes and Verlinde rings 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 Fusion of symmetric $D$-branes and Verlinde rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fusion of symmetric $D$-branes and Verlinde rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-4142