Resolution of the nested hierarchy for rationalsl(n) models

2000/02/17 by T. -D. Albert, T-D Albert, H. Boos +5 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum Information and Cryptography #Random Matrices and Applications #cond-mat #hep-th #nlin.SI

paper · pdf · doi:10.1088/0305-4470/33/28/302

published as J.Phys.A33:4963-4980,2000 · 25 pages, no figures

arxiv created 2000/02/17 · openalex publication_date 2000/07/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We construct Drinfel'd twists for the rational sl ( n ) XXX model giving rise to a completely symmetric representation of the monodromy matrix. We obtain a polarization-free representation of the pseudoparticle creation operators figuring in the construction of the Bethe vectors within the framework of the quantum inverse scattering method. This representation enables us to resolve the hierarchy of the nested Bethe ansatz for the sl ( n ) invariant rational Heisenberg model. Our results generalize the findings of Maillet and Sanchez de Santos for sl (2) models.

Cited by

• Polarization-free generators for the Belavin model
• 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