New modular representations and fusion algebras from quantized SL(2,R) Chern-Simons theory
| dc.creator | Imbimbo, C. | |
| dc.date | 1993-01-11 | |
| dc.date.accessioned | 2026-07-07T09:13:59Z | |
| dc.date.available | 2026-07-07T09:13:59Z | |
| dc.description | We consider the quantum-mechanical algebra of observables generated by canonical quantization of $SL(2,R)$ Chern-Simons theory with rational charge on a space manifold with torus topology. We produce modular representations generalizing the representations associated to the $SU(2)$ WZW models and we exhibit the explicit polynomial representations of the corresponding fusion algebras. The relation to Kac-Wakimoto characters of highest weight $\widehat{sl}(2)$ representations with rational level is illustrated. Talk given at the Como Conference on ``Integrable Quantum Field Theories'', September 1992. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9301031 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9301031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152516 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | New modular representations and fusion algebras from quantized SL(2,R) Chern-Simons theory | |
| dc.type | text |