Novel solutions to the tetrahedron equation

TL;DR

This paper presents the first nontrivial solution to the tetrahedron equation with variables on edges, advancing the understanding of three-dimensional integrable models in mathematical physics.

Contribution

It introduces a novel solution to the tetrahedron relation, expanding the set of known solutions in the context of the Zamolodchikov tetrahedron equation.

Findings

First nontrivial edge-variable solution to the tetrahedron equation

Advances the mathematical understanding of 3D integrable models

Provides a new example for further theoretical exploration

Abstract

This is the English translation of the short note where the first nontrivial tetrahedron relation (solution of the Zamolodchikov tetrahedron equation) with variables on the edges was presented.