On the classification of fusion rings

Details On the classification of fusion rings On the classification of fusion rings

1994-10-13

arxiv.org/abs/hep-th/9410089v1

Phys.Lett. B349 (1995) 71-75

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, CALT-68-1960

Scientific paper

10.1016/0370-2693(95)00172-H

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.

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