The perturbation ϕ_2,1 of the M(p,p+1) models of conformal field theory and related polynomial character identities

1998/09/11 by Alexander Bérkovich, Alexander Berkovich, Barry M. McCoy +2
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #hep-th #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.math/9809066

30 pages in latex, an additional result is added

arxiv created 1998/09/17 · arxiv updated 2009/11/30

Abstract

Using q-trinomial coefficients of Andrews and Baxter along with the technique of telescopic expansions, we propose and prove a complete set of polynomial identities of Rogers-Ramanujan type for M(p, p+1) models of conformal field theory perturbed by the operator phi_2,1. The bosonic form of our polynomials is closely related to corner transfer matrix sums which arise in the computation of the order parameter in the regime 1⁺ of A_p-1 dilute models. In the limit where the degree of the polynomials tends to infinity our identities provide new companion fermionic representations for all Virasoro characters of unitary minimal series.

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