The perturbation phi(2,1) of the M(p, p+1) models of conformal field theory and related polynomial-character identities

Using q-trinomial coefficients of Andrews and Baxter along with the techniq ue of telescopic expansions, we propose and prove a complete set of polynom ial 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 ou r 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) dil ute models. In the limit where the degree of the polynomials tends to infin ity our identities provide new companion fermionic representations for all Virasoro characters of unitary minimal series.