Yang-Baxter Equation for $A_{n-1}^{(1)}$ Broken ${\Bf Z}_N $ Models

Abstract

We construct a factorized representation of the $\mathfrak{g}{\mathfrak{l}}_n$-Sklyanin algebra from the vertex-face correspondence. Using this representation, we obtain a new solvable model which gives an $\mathfrak{s}{\mathfrak{l}}_n$-generalization of the broken $\bz _N $ model. We further prove the Yang-Baxter equation for this model.

19 pages. UT-603

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