On some properties of SU(3) Fusion Coefficients

Abstract

Three aspects of the SU(3) fusion coefficients are revisited: the generating polynomials of fusion coefficients are written explicitly; some curious identities generalizing the classical Freudenthal-de Vries formula are derived; and the properties of the fusion coefficients under conjugation of one of the factors, previously analysed in the classical case, are extended to the affine algebra of su(3) at finite level.

33 pages, 10 figures. Contribution to Mathematical Foundations of Quantum Field Theory, special issue in memory of Raymond Stora, Nucl. Phys. B

References in corpus (4)

• On squares of representations of compact Lie algebras
• Orders and dimensions for sl(2) or sl(3) module categories and Boundary Conformal Field Theories on a torus
• Conjugation properties of tensor product multiplicities
• On sums of tensor and fusion multiplicities

Cited by in corpus (4)

• The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices
• Theta functions for lattices of SU(3) hyper-roots
• Conjugation Properties of Tensor Product and Fusion Coefficients
• SU(3) higher roots and their lattices