Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 427

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

Thomas Quella

Based on the rational R-matrix of the supersymmetric spl(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.

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