On the construction of integrable dilute ADE models

1992/04/14 by Ph. Roche, Philippe Roche · 5 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Quantum many-body systems #hep-th

paper · pdf · doi:10.1016/0370-2693(92)91298-n

published as Phys.Lett. B285 (1992) 49-53 · #8

arxiv created 1992/04/14 · openalex publication_date 1992/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an integrable extension of the lattice models recently considered by I.Kostov in his study of strings in discrete space. These models are IRF models with spin variables living in any connected graph, the vertex model underlying these models is the Izergin-Korepin model. When the graph is taken to be a simply laced Dynkin diagram, it is conjectured that these models possess critical regimes which are the dilute phase of SOS models of ADE type.

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• Solvable lattice models labelled by Dynkin diagrams