Algebraic Bethe ansatz for gl(2, 1) invariant 36-vertex models

1996/04/15 by Markus P. Pfannmüller, Holger Frahm · 4 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #cond-mat #hep-th

paper · pdf · doi:10.1016/0550-3213(96)00425-7

published as Nucl.Phys. B479 (1996) 575-593 · 13 pages, LaTeX, no figures

arxiv created 1996/04/15 · openalex publication_date 1996/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Four dimensional irreducible representations of the superalgebra gl(2,1) carry a free parameter. We compute the spectra of the corresponding transfer matrices by means of the nested algebraic Bethe ansatz together with a generalized fusion procedure.

Cited by

• Level-one highest weight representation of Uq[sl(N|1)] and Bosonization of the multicomponent Super t−J model
• THERMODYNAMIC BETHE ANSATZ EQUATION FOR osp(1|2) INTEGRABLE SPIN CHAIN
• Finite size properties of staggered Uq[sl(2|1)] superspin chains
• The continuum limit of sl(N/K) integrable super spin chains
• Matrix difference equations for the supersymmetric Lie algebrasl(2,1) and the `off-shell' Bethe ansatz