Fusion of symmetric $D$-branes and Verlinde rings
| dc.creator | Carey, A. L. | |
| dc.creator | Wang, Bai-Ling | |
| dc.date | 2005-05-14 | |
| dc.date | 2005-05-22 | |
| dc.date.accessioned | 2026-07-07T11:28:09Z | |
| dc.date.available | 2026-07-07T11:28:09Z | |
| dc.description | 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. | |
| dc.description | 43 pages, xy-pic diagrams; Proof of Prop. 6.17 clarified and references added | |
| dc.identifier | https://arxiv.org/abs/math-ph/0505040 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0505040 | |
| dc.identifier | Commun.Math.Phys.277:577-625,2008 | |
| dc.identifier | doi:10.1007/s00220-007-0399-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196352 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Fusion of symmetric $D$-branes and Verlinde rings | |
| dc.type | text |