On the equivalence between \(n\)-state spin and vertex models on the square lattice

DOI10.1016/J.NUCLPHYSB.2024.116610MaRDI QIDQ6576306

Márcio J. Martins

Publication date: 22 July 2024

Published in: Nuclear Physics B (Search for Journal in Brave)

zbMATH Keywords

Yang-Baxter equationsspin chainspin and vertex models

Mathematics Subject Classification ID

Inverse scattering problems in quantum theory (81U40) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80) Yang-Baxter equations and Rota-Baxter operators (17B38)

Cites Work

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• Elementary transformations of Dynkin graphs and singularities on quartic surfaces
• Equivalence principle in statistical mechanics
• On normal projective surfaces with trivial dualizing sheaf
• The odd eight-vertex model
• Statistics of the Two-Dimensional Ferromagnet. Part I
• On the Theory of the Ising Model of Ferromagnetism
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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