{ "id": "1605.05864", "version": "v1", "published": "2016-05-19T09:27:14.000Z", "updated": "2016-05-19T09:27:14.000Z", "title": "On some properties of SU(3) Fusion Coefficients", "authors": [ "Robert Coquereaux", "Jean-Bernard Zuber" ], "comment": "33 pages, 10 figures. Contribution to Mathematical Foundations of Quantum Field Theory, special issue in memory of Raymond Stora, Nucl. Phys. B", "categories": [ "math-ph", "hep-th", "math.MP", "math.QA", "math.RT" ], "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.", "revisions": [ { "version": "v1", "updated": "2016-05-19T09:27:14.000Z" } ], "analyses": { "subjects": [ "22E46", "17B10", "17B67", "20G42", "81R10" ], "keywords": [ "fusion coefficients", "properties", "classical freudenthal-de vries formula", "finite level", "affine algebra" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1462282 } } }