On some properties of SU(3) Fusion Coefficients
Mathematical Physics
2016-11-24 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Representation Theory
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.
Keywords
Cite
@article{arxiv.1605.05864,
title = {On some properties of SU(3) Fusion Coefficients},
author = {Robert Coquereaux and Jean-Bernard Zuber},
journal= {arXiv preprint arXiv:1605.05864},
year = {2016}
}
Comments
33 pages, 10 figures. Contribution to Mathematical Foundations of Quantum Field Theory, special issue in memory of Raymond Stora, Nucl. Phys. B