New solution of vertex type tetrahedron equations

TL;DR

This paper introduces a new three-dimensional integrable spin model with vertex formulation, where weights satisfy tetrahedron equations, advancing the understanding of lattice models in statistical mechanics.

Contribution

It presents a novel N-state spin model on a 3D lattice with vertex formulation, satisfying tetrahedron equations, which is a new integrable model in the field.

Findings

Model formulated with weight functions satisfying tetrahedron equations

Reformulation as a vertex type model

Advances in 3D integrable lattice models

Abstract

In this paper we formulate a new N-state spin integrable model on a three-dimensional lattice with spins interacting round each elementary cube of the lattice. This model can be also reformulated as a vertex type model. Weight functions of the model satisfy tetrahedron equations.