Polarization-free generators for the Belavin model

2000/07/28 by T. -D. Albert, T-D Albert, K. Ruhlig · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Physics of Superconductivity and Magnetism #cond-mat.stat-mech #hep-th #nlin.SI

paper · pdf · doi:10.1088/0305-4470/34/8/304

published as J.Phys.A34:1569-1580,2001 · 16 pages, no figures, typos corrected, new reference [4] added

arxiv created 2000/07/28 · openalex publication_date 2001/02/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Employing a change of basis, the so-called factorizing Drinfel'd twist, we construct polarization-free and completely symmetric creation operators for a face type model equivalent to the Belavin model. A resolution of the nested structure of the Bethe vectors is achieved.

Citations

• Resolution of the nested hierarchy for rationalsl(n) models
• Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. I. Some fundamental eigenvectors
• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL
• The Drinfel'd twisted XYZ model

Cited by

• Factorizing twists andR-matrices for representations of the quantum affine algebra U_q(\widehat\fraksl₂)
• Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models