THE STAR SQUARE IN THE BAXTER–BAZHANOV MODEL AND THE STAR–TRIANGLE RELATION IN THE CHIRAL POTTS MODEL

Abstract

In this letter, the connection is found between the "star–square" relation in the Baxter–Bazhanov model and the "star–triangle" relation in the chiral Potts model, which means that the tetrahedron equation of the Baxter–Bazhanov model is a consequence of the latter. The four additional constraints in the tetrahedron equation given by Kashaev et al. hold naturally in respect to the spherical trigonometry parametrizations.