Tetrahedron equation and spin integrable models on a cubic lattice

DOI10.1007/BF02630441zbMath1006.17016MaRDI QIDQ1280391

Yu. G. Stroganov

Publication date: 2 May 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

integrabilityYang-Baxter equationtransition matrixtetrahedron equationBazhanov-Baxter model

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Exactly solvable models; Bethe ansatz (82B23)

Related Items (3)

Three-partite vertex model and knot invariants ⋮ Theory and phenomenology for a variety of classical and quantum phase transitions ⋮ Clifford algebra approach of 3D Ising model

Cites Work

• Unnamed Item
• The Yang-Baxter equations and the Zamolodchikov model
• Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)
• Tetrahedral Zamolodchikov algebras corresponding to Baxter's \(L\)- operators
• \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
• Chiral Potts model as a descendant of the six-vertex model
• ELLIPTIC SOLUTION FOR MODIFIED TETRAHEDRON EQUATIONS
• NEW SOLUTION OF VERTEX TYPE TETRAHEDRON EQUATIONS
• NEW SERIES OF 3D LATTICE INTEGRABLE MODELS
• MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS, I
• SPATIAL SYMMETRY, LOCAL INTEGRABILITY AND TETRAHEDRON EQUATIONS IN THE BAXTER-BAZHANOV MODEL
• Labelling schemes for tetrahedron equations and dualities between them
• Star-triangle relation for a three-dimensional model

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