On conformal field theories with low number of primary fields
High Energy Physics - Theory
2009-07-22 v2
Abstract
Using Verlinde formula and the symmetry of the modular matrix we describe an algorithm to find all conformal field theories with low number of primary fields. We employ the algorithm on up to eight primary fields. Four new conformal field theories are found which do not appear to come from current algebras. This supports evidence to the fact that rational conformal field theories are far richer than suspected before.
Keywords
Cite
@article{arxiv.0811.1904,
title = {On conformal field theories with low number of primary fields},
author = {Roman Dovgard and Doron Gepner},
journal= {arXiv preprint arXiv:0811.1904},
year = {2009}
}
Comments
16 pages. Deleted two $SO(3)_{4r}$ conformal data and added one new one