On the Three-dimensional Lattice Model

Abstract

Using the restricted star-triangle relation, it is shown that the $N$-state spin integrable model on a three-dimensional lattice with spins interacting round each elementary cube of the lattice proposed by Mangazeev, Sergeev and Stroganov is a particular case of the Bazhanov-Baxter model.

8 pages, latex, 4 figures

References in corpus (7)

• Star-Triangle Relation for a Three Dimensional Model
• Labeling Schemes for Tetrahedron Equations and Dualities between Them
• Modified Tetrahedron Equations and Related 3D Integrable Models
• New series of 3D lattice integrable models
• Towards Three-Dimensional Bethe Ansatz
• New solution of vertex type tetrahedron equations
• Remarks on the Star-Triangle Relation in the Baxter-Bazhanov Model

Cited by in corpus (3)

• Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex model
• Three-Dimensional Vertex Model Related BCC Model in Statistical Mechanics
• Baxter-Bazhanov Model, Frenkel-Moore Equation and the Braid Group