New Factorized S-Matrix and Its Application to Exactly Solvable q-State Model. I

Abstract
Presented is a new q-state factorized S-matrix which possesses the CPT invariances, crossing symmetry and the charge conservation symmetry. The result is a generalization of Zamolodchikov and Fateev’s case (q = 3) to arbitrary q case. Another solution of the factorization equations is given and asymmetric generalization of the q-state model is discussed.