Galois groups in rational conformal field theory II. The discriminant

Details Galois groups in rational conformal field theory II. The discriminant Galois groups in rational conformal field theory II. The discriminant

2006-08-20

arxiv.org/abs/hep-th/0608140v2

Phys.Lett.B654:113-120,2007

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, one table. Minor typos corrected

Scientific paper

10.1016/j.physletb.2007.08.054

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.

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