Modular categories and orbifold models II

Details Modular categories and orbifold models II Modular categories and orbifold models II

2001-10-19

arxiv.org/abs/math/0110221v1

Mathematics

Quantum Algebra

14 pages, LaTeX

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Modular categories and orbifold models II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Modular categories and orbifold models II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modular categories and orbifold models II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-212447