Exact solution of cyclic solid-on-solid lattice models

DOI10.1016/0003-4916(89)90003-1zbMath0695.17008OpenAlexW2069126195MaRDI QIDQ909770

Paul A. Pearce, Katherine A. Seaton

Publication date: 1989

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(89)90003-1

zbMATH Keywords

free energycritical exponentsaffine Lie algebraCSOS modelscyclic solid-on-solid lattice modelslocal height probabilities

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (13)

The 16-vertex model and its even and odd 8-vertex subcases on the square lattice ⋮ Off-critical local height probabilities on a plane and critical partition functions on a cylinder ⋮ Row transfer matrix spectra of cyclic solid-on-solid lattice models. ⋮ Spontaneous staggered polarizations of the cyclic solid-on-solid model from the algebraic Bethe Ansatz ⋮ An algebraic Bethe ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model ⋮ Multi-point local height probabilities of the CSOS model within the algebraic Bethe ansatz framework ⋮ Fusion hierarchies,T-systems, andY-systems of logarithmic minimal models ⋮ Antiperiodic dynamical 6-vertex model by separation of variables II: functional equations and form factors ⋮ Dynamical spin chains in 4D \(\mathcal{N} = 2\) SCFTs ⋮ Algebraic construction of higher-rank dilute A models ⋮ Lattice models in statistical mechanics for \(N=2\) superconformal field theory ⋮ Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem ⋮ Conserved currents in the six-vertex and trigonometric solid-on-solid models

Cites Work

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• Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities
• Operator content of two-dimensional conformally invariant theories
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Local state probabilities for solvable restricted solid-on-solid models: \(A_ n,\;D_ n,\;D^{(1)}_ n,\) and \(A^{(1)}_ n\).
• The hard-hexagon model and Rogers—Ramanujan type identities
• Local state probabilities for an infinite sequence of solvable lattice models
• Three-Colorings of the Square Lattice: A Hard Squares Model
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.

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