EXACT RESULTS FOR A SYMMETRIC 27-VERTEX MODEL

Wu study a symmetric 3-state 27-vertex model and summarize three ways con-tributing to obtaining information of a higher-spin (more-vertex) model in terms of lower-spin (less-vertex) models. We find that this model is equivalent to a symmet-ric 2-state 8-vertex model or an arbitrary 3-state spin models on Kagome lattice in different eases. And 21 exact critical lines and a multicritical point (add something that I cannot recognize) are obtained in ten-dimensional weight space.