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

1999/11/30 by Thomas Quella, T. Quella · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Generalization #Graded Lie algebra #Integrable system #Lie algebra #Lie conformal algebra #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Waves and Solitons #Pure mathematics #hep-th

paper · pdf · doi:10.1088/0305-4470/33/13/310

published in Journal of Physics A Mathematical and General 33(13), 2579-2586 (Institute of Physics) · 10 pages, LaTex, references and acknowledgements added, spl(2,1) now called sl(2,1)

openalex publication_date 2000/03/23 · arxiv created 2000/03/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations