Z_N x Z_N Generalization of the Chiral Potts Model

Abstract

V.V. Bazhanov, R.M. Kashaev, V.V. Mangazeev. Zjf x ZN Generalization of the Chiral Potts Model: IHEP Preprint 90-136. — Protvino, 1990. — p. 19, refs.: 13. We show that the Д-matrix which intertwines two 3-by-N2 state cyclic L-opera tors can be considered as a Boltzmann weight of four-spin box for a lattice model with two-spin interaction just as the Д-matrix of the checkerboard chiral Potts model. The rapidity variables He on the same algebraic curve as in the chiral Potts model. Factorization properties of the ^-operator and its connection to the SOS models, are also discussed. Show more