Gerbes, (twisted) K-theory, and the supersymmetric WZW model
| dc.creator | Mickelsson, Jouko | |
| dc.date | 2002-06-17 | |
| dc.date | 2002-12-06 | |
| dc.date.accessioned | 2026-07-07T04:13:42Z | |
| dc.date.available | 2026-07-07T04:13:42Z | |
| dc.description | The aim of this talk is to explain how symmetry breaking in a quantum field theory problem leads to a study of projective bundles, Dixmier-Douady classes, and associated gerbes. A gerbe manifests itself in different equivalent ways. Besides the cohomological description as a DD class, it can be defined in terms of a family of local line bundles or as a prolongation problem for an (infinite-dimensional) principal bundle, with the fiber consisting of (a subgroup of) projective unitaries in a Hilbert space. The prolongation aspect is directly related to the appearance of central extensions of (broken) symmetry groups. We also discuss the construction of twisted K-theory classes by families of supercharges for the supersymmetric Wess-Zumino-Witten model. | |
| dc.description | some typos corrected, a short comment in the end and two references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0206139 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0206139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51355 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.title | Gerbes, (twisted) K-theory, and the supersymmetric WZW model | |
| dc.type | text |