Tetrahedron equation: algebra, topology, and integrability

DOI10.1070/RM10009zbMath1494.16037OpenAlexW3211207882MaRDI QIDQ5069054

Dmitry Talalaev

Publication date: 8 April 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm10009

zbMATH Keywords

Hopfield model2-knotstetrahedron equationintegrable models of statistical physics

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Yang-Baxter equations (16T25)

Related Items (5)

Tetrahedron maps, Yang–Baxter maps, and partial linearisations ⋮ Local Yang–Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation ⋮ Set-theoretical solutions to the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability ⋮ Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems ⋮ Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation

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