Tetrahedral Zamolodchikov Algebra Related to the Six-Vertex Free-Fermion Model and a New Solutionof the Yang-Baxter Equation

Abstract

We present a new example of the tetrahedral Zamolodchikov algebra which is related to the six-vertex free-fermion model. As an application of the tetrahedral Zamolodchikov algebra, we obtain a new solution of the Yang-Baxter equation, which is a generalization of the ]R-matrix of the one-dimensional Hubbard model.