A large family of IRF solvable lattice models based on WZW models

We consider the lattice models based on affine algebras described by Jimbo et al., for the algebras ABCD and by Kuniba et al. for G₂. We find a general formula for the crossing multipliers of these models, with the result that these crossing multipliers are given by the principally specialized characters of the model in question. Therefore we conjecture that the crossing multipliers in a large class of solvable interaction round the face lattice models are given by the characters of the conformal field theory on which they are based. We also elaborate on some details of the computation of the Local state probability of these models, conjecturing an expression for it.