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The Perk--Schultz model may be expressed in terms of the solution of theYang--Baxter equation associated with the fundamental representation of theuntwisted affine extension of the general linear quantum superalgebra$U_q[sl(m|n)]$, with a multiparametric co-product action as given byReshetikhin. Here we present analogous explicit expressions for solutions ofthe Yang-Baxter equation associated with the fundamental representations of thetwisted and untwisted affine extensions of the orthosymplectic quantumsuperalgebras $U_q[osp(m|n)]$. In this manner we obtain generalisations of thePerk--Schultz model.Comment: 10 pages, 2 figure

Generalized Perk–Schultz models: solutions of the Yang–Baxter equation associated with quantized orthosymplectic superalgebras