A spin decomposition of the Verlinde formula for type A modular categories
| dc.creator | Blanchet, Christian | |
| dc.date | 2003-03-19 | |
| dc.date | 2006-06-26 | |
| dc.date.accessioned | 2026-07-07T06:35:36Z | |
| dc.date.available | 2026-07-07T06:35:36Z | |
| dc.description | A modular category is a braided category with some additional algebraic features. The interest of this concept is that it provides a Topological Quantum Field Theory in dimension 3. The Verlinde formulas associated with a modular category are the dimensions of the TQFT modules. We compute this formulas and discuss reductions and refinements for modular categories related with SU(N).Our main result is a splitting of the Verlinde formula, corresponding to a brick decomposition of the TQFT modules whose summands are indexed by spin structures modulo an even integer.We introduce the notion of a spin modular category, and give the proof of the decomposition theorem in this general context. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303240 | |
| dc.identifier | http://arxiv.org/abs/math/0303240 | |
| dc.identifier | Comm. in Math. Physics, Vol. 257, N. 1, May 2005, 1 - 28 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99844 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57R56 | |
| dc.title | A spin decomposition of the Verlinde formula for type A modular categories | |
| dc.type | text |