1993/01/08 by S. Ole Warnaar, Ole Warnaar, Bernard Nienhuis · 2 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #nlin.SI #solv-int
paper · pdf · doi:10.1088/0305-4470/26/10/005
published as J.Phys. A26 (1993) 2301-2316 · 18 pages
arxiv created 1993/01/08 · openalex publication_date 1993/05/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
An equivalence between generalized restricted solid-on-solid models, associated with sets of graphs, and multi-colour loop models is established. As an application the authors 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, they give an off-critical extension, which breaks the Z 2 symmetry of the Dynkin diagrams.