SOLVABLE LATTICE MODELS LABELED BY DYNKIN DIAGRAMS

An equivalence between generalized restricted solid-on-solid (RSOS) models, associated with sets of graphs, and multi-colour loop models is established. As an application we consider solvable loop models and, in this way, obtain new solvable families of critical RSOS models. These families can all be classified by the Dynkin diagrams of the simply laced Lie algebras. For one of the RSOS Models, labelled by the Lie algebra pair (A(L),A(L)) and related to the C-2(1) vertex model, we give an off-critical extension, which breaks the Z2 symmetry Of the Dynkin diagrams.