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Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models

2005/02/28 by Shao-You Zhao, Wen-Li Yang, Wen‐Li Yang +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #cond-mat.str-el #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/1742-5468/2005/04/p04005

published as J.Stat.Mech.0504:P04005,2005 · Latex File, 24 pages, no figure, some misprints are corrected

openalex publication_date 2005/04/13 · arxiv created 2005/06/24 · arxiv updated 2011/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We construct the Drinfeld twists (factorizing F -matrices) of the gl ( m | n )-invariant fermion model. Completely symmetric representation of the pseudo-particle creation operators of the model are obtained in the basis provided by the F -matrix (the F -basis). We resolve the hierarchy of the nested Bethe vectors in the F -basis for the gl ( m | n ) supersymmetric model.

Citations