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arXiv:hep-th/9911213 · Journal of Physics A Mathematical and General

Matrix difference equations for the supersymmetric Lie algebrasl(2,1) and the `off-shell' Bethe ansatz

Thomas Quella

Published Mar 23, 2000• 1 citation
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Abstract

Based on the rational R -matrix of the supersymmetric sl (2,1) matrix difference equations are solved by means of a generalization of the nested algebraic Bethe ansatz. These solutions are shown to be of highest weight with respect to the underlying graded Lie algebra structure.
DOI
10.1088/0305-4470/33/13/310

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We study the highest weight representations of the RTT-algebras for the R-matrix of sp(2n)sp(2n)sp(2n) type by the nested algebraic Bethe ansatz. For special representations these models were solved by Reshetikhin and by Martins and Ramos.