Modular categories and orbifold models II
| dc.creator | Kirillov Jr, Alexander | |
| dc.date | 2001-10-19 | |
| dc.date.accessioned | 2026-07-07T04:43:58Z | |
| dc.date.available | 2026-07-07T04:43:58Z | |
| dc.description | This is a continuation of the paper "Modular tensor categories and orbifold theories", arXiv:math.QA/0104242. It discusses orbifold models of conformal filed theory, or, in mathematical language, question of constructing the category of representations of the fixed point algebra $V^G$ for a given vertex operator algebra $V$ with an action of a finite group $G$. The previous paper gave a proof of well-known conjecture of Dijkgraaf-Vafa-Verlinde-Verlinde giving a complete answer to this question in the holomorphic case (when $V$ has a unique simple module, $V$ itself) under the assumption that categories of rrepresentations of $V$, $V^G$ are modular tensor categories. In the current paper, we give a partial answer in non-holomorphic case. In particular, we show that the category of representations of $V^G$ is completely determined by the category of twisted $V$-modules together with the action of $G$ on this category. Our approach is based on describing representations of $V$, $V^G$ and relation between them in terms of tensor categories and avoids using the technique of VOAs as much as possible. | |
| dc.description | 14 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0110221 | |
| dc.identifier | http://arxiv.org/abs/math/0110221 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62451 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Category Theory | |
| dc.title | Modular categories and orbifold models II | |
| dc.type | text |