Multinomials and polynomial bosonic forms for the branching functions of the overlinesu(2) _{M} x overlinesu(2) _{N}/ overlinesu(2) _{M+N} conformal coset models
Abstract
We give explicit expressions for the qmultinomial generalizations of the qbinomials and Andrews' and Baxter's qtrinomials. We show that the configuration sums for the generalized RSOS models in regime III studied by Date et al. can be expressed in terms of these multinomials. This generalizes the work of ABF and AB where configuration sums of statistical mechanical models have been expressed in terms of binomial and trinomial coefficients. These RSOS configuration sums yield the branching functions for the overlinesu(2) _{M} x overlinesu(2) _{N}/ overlinesu(2) _{M+N} coset models. The representation in terms of multinomials gives RochaCaridilike formulas whereas the representatiot of Date et al. gives a double sum representation for the branching functions.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)001034
 arXiv:
 arXiv:hepth/9510168
 Bibcode:
 1996NuPhB.467..247S
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 23 pages, no figures, latex