On the classification of fusion rings
High Energy Physics - Theory
2009-10-28 v1
Abstract
The fusion rules and modular matrix of a rational conformal field theory obey a list of properties. We use these properties to classify rational conformal field theories with not more than six primary fields and small values of the fusion coefficients. We give a catalogue of fusion rings which can arise for these field theories. It is shown that all such fusion rules can be realized by current algebras. Our results support the conjecture that all rational conformal field theories are related to current algebras.
Keywords
Cite
@article{arxiv.hep-th/9410089,
title = {On the classification of fusion rings},
author = {D. Gepner and A. Kapustin},
journal= {arXiv preprint arXiv:hep-th/9410089},
year = {2009}
}
Comments
10 pages, CALT-68-1960