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Fusion bases for affine Lie algebras

Luc Begin, Chris Cummins, P. Mathieu

math-pharXiv:math-ph/0005004

Abstract

Fusion coefficients for affine Lie algebras are fixed by the corresponding tensor-product coefficients and a set of threshold levels. It is shown how the information concerning the threshold level is coded in the fusion basis, which is a set of inequalities that completely describes the fusion coefficients. The construction of the su(2) fusion basis is presented in detail.

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