On Orbifold Theory
Quantum Algebra
2015-07-16 v2 Representation Theory
Abstract
Let V be a simple vertex operator algebra and G a finite automorphism group of V such that V^G is regular. It is proved that every irreducible V^G-module occurs in an irreducible g-twisted V-module for some g in G. Moreover, the quantum dimensions of each irreducible V^G-module are determined and a global dimension formula for V in terms of twisted modules is obtained.
Cite
@article{arxiv.1507.03306,
title = {On Orbifold Theory},
author = {Chongying Dong and Li Ren and Feng Xu},
journal= {arXiv preprint arXiv:1507.03306},
year = {2015}
}
Comments
minor changes, 28 pages