Categorification and correlation functions in conformal field theory
| dc.creator | Runkel, Ingo | |
| dc.creator | Fuchs, Jurgen | |
| dc.creator | Schweigert, Christoph | |
| dc.date | 2006-02-05 | |
| dc.date.accessioned | 2026-07-07T07:03:07Z | |
| dc.date.available | 2026-07-07T07:03:07Z | |
| dc.description | A modular tensor category provides the appropriate data for the construction of a three-dimensional topological field theory. We describe the following analogue for two-dimensional conformal field theories: a 2-category whose objects are symmetric special Frobenius algebras in a modular tensor category and whose morphisms are categories of bimodules. This 2-category provides sufficient ingredients for constructing all correlation functions of a two-dimensional rational conformal field theory. The bimodules have the physical interpretation of chiral data, boundary conditions, and topological defect lines of this theory. | |
| dc.description | 16 pages, Invited contribution to the ICM 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0602079 | |
| dc.identifier | http://arxiv.org/abs/math/0602079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108853 | |
| dc.subject | Category Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 81T40;18D10;18D35;81T45 | |
| dc.title | Categorification and correlation functions in conformal field theory | |
| dc.type | text |