Factorizable 5-Matrix and S-ymmetry Operator with Toroidal Rapidity Values

Abstract：

We constructed the factorizable S-matrix and obtained the symmetry operator which commutes with the 5-matrix and has a new form of "coproduct," the elements of which depend on the parameters defining the toroidal rapidity surface. By defining a new operator which commutes with the symmetry operator the Yang-Baxter equation can be obtained. Finally, the relation between the hroken Z_N-symmetric model and the chiral Potts model was expressed explicitly in the seif-dual genus zero limit.