Representations of vertex operator algebras and braided finite tensor categories
Quantum Algebra
2009-04-01 v2 High Energy Physics - Theory
Category Theory
Abstract
We discuss what has been achieved in the past twenty years on the construction and study of a braided finite tensor category structure on a suitable module category for a suitable vertex operator algebra. We identify the main difficult parts in the construction, discuss the methods developed to overcome these difficulties and present some further problems that still need to be solved. We also choose to discuss three among the numerous applications of the construction.
Keywords
Cite
@article{arxiv.0903.4233,
title = {Representations of vertex operator algebras and braided finite tensor categories},
author = {Yi-Zhi Huang},
journal= {arXiv preprint arXiv:0903.4233},
year = {2009}
}
Comments
24 pages. One remark and one footnote are added and some mistakes of terminology are corrected