arXiv:nlin/0509019 · Journal of Physics A Mathematical and General

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

Maithili Mehta, K. A. Dancer, M. D. Gould, Jon Links

Published Dec 7, 2005• 2 citations

Abstract

The Perk–Schultz model may be expressed in terms of the solution of the Yang–Baxter equation associated with the fundamental representation of the untwisted affine extension of the general linear quantum superalgebra U q [ gl ( m | n )], with a multiparametric coproduct action as given by Reshetikhin. Here, we present analogous explicit expressions for solutions of the Yang–Baxter equation associated with the fundamental representations of the twisted and untwisted affine extensions of the orthosymplectic quantum superalgebras U q [ osp ( m | n )]. In this manner, we obtain generalizations of the Perk–Schultz model.

DOI: 10.1088/0305-4470/39/1/l03

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