Modular Theory and Symmetry in QFT
| dc.creator | Schroer, B. | |
| dc.date | 1993-10-11 | |
| dc.date | 1993-10-27 | |
| dc.date.accessioned | 2026-07-07T09:01:22Z | |
| dc.date.available | 2026-07-07T09:01:22Z | |
| dc.description | The application of the Tomita-Takesaki modular theory to the Haag-Kastler net approach in QFT yields external (space-time) symmetries as well as internal ones (internal ``gauge para-groups") and their dual counterparts (the ``super selection para-group"). An attempt is made to develop a (speculative) picture on ``quantum symmetry" which links space-time symmetries in an inexorable way with internal symmetries. In the course of this attempt, we present several theorems and in particular derive the Kac-Wakimoto formula which links Jones inclusion indices with the asymptotics of expectation values in physical temperature states. This formula is a special case of a new asymptotic Gibbs-state representation of mapping class group matrices (in a Haag-Kastler net indexed by intervals on the circle!) as well as braid group matrices. | |
| dc.description | 35 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9310057 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9310057 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148295 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Modular Theory and Symmetry in QFT | |
| dc.type | text |