English

Fusion bases for affine Lie algebras

Mathematical Physics 2007-05-23 v2 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0005004,
  title  = {Fusion bases for affine Lie algebras},
  author = {Luc Begin and Chris Cummins and P. Mathieu},
  journal= {arXiv preprint arXiv:math-ph/0005004},
  year   = {2007}
}

Comments

Latex and Fizik, 12 p. Talk presented by PM at the 6-th Wigner symposium, Istambul, Aug 1999

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