摘要：

In this paper we present the solutions of the star-triangle equation for Boltzmann weights of the (Nu03b1,Nu03b2) model. This model consists of two scalar Potts models (of Nu03b1 and Nu03b2 states, respectively) coupled together by four-spin interaction terms and was introduced by Domany and Riedel to study the phase transitions in adsorbed thin films. If Nu03b1,Nu03b2u22602, the star-triangle equations have nontrivial self-dual and non-self-dual solutions only for Nu03b1=Nu03b2; whereas if Nu03b1u2260Nu03b2=2, we have other self-dual and non-self-dual solutions. After applying partial duality transformations several of our solutions can be identified with known solutions for Interaction-Round-a-Face (IRF) models. Our results also mean that our high-genus solutions found earlier are not the only solutions to the star-triangle equations in chiral Potts models with six or more states per site.

展开