Galois groups in rational conformal field theory II. The discriminant
High Energy Physics - Theory
2008-11-26 v2 Statistical Mechanics
Mathematical Physics
math.MP
Number Theory
Rings and Algebras
Abstract
We express the discriminant of the polynomial relations of the fusion ring, in any conformal field theory, as the product of the rows of the modular matrix to the power -2. The discriminant is shown to be an integer, always, which is a product of primes which divide the level. Detailed formulas for the discriminant are given for all WZW conformal field theories.
Keywords
Cite
@article{arxiv.hep-th/0608140,
title = {Galois groups in rational conformal field theory II. The discriminant},
author = {Doron Gepner},
journal= {arXiv preprint arXiv:hep-th/0608140},
year = {2008}
}
Comments
19 pages, one table. Minor typos corrected