Vertex operator algebras, fusion rules and modular transformations
Quantum Algebra
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
math.MP
Abstract
We discuss a recent proof by the author of a general version of the Verlinde conjecture in the framework of vertex operator algebras and the application of this result to the construction of modular tensor tensor category structure on the category of modules for a vertex operator algebra.
Cite
@article{arxiv.math/0502558,
title = {Vertex operator algebras, fusion rules and modular transformations},
author = {Yi-Zhi Huang},
journal= {arXiv preprint arXiv:math/0502558},
year = {2007}
}
Comments
21 pages. To appear in Proceedings of the conference "Non-commutative Geometry and Representation Theory in Mathematical Physics," July 5-10, 2004, Karlstad University, Sweden