EXACT RESULTS FOR A SYMMETRICAL 27-VERTEX MODEL

Wu study a symmetric 3-state 27-vertex model and summarize three ways contributing to obtaining information of a higher-spin (more-vertex) m odel in terms of lower-spin (less-vertex) models. We find that this mo del is equivalent to a symmetric 2-state 8-vertex model or an arbitrar y 3-state spin models on Kagome lattice in different cases. And 21 exa ct critical lines and a multicritical point; (add something that I can not recognize) are obtained in ten-dimensional weight space.