Baxter operators for the noncompact quantumsl(3) invariant spin chain

2006/04/30 by S. E. Derkachov, S É Derkachov, A. N. Manashov +1 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Magnetism in coordination complexes #Quantum many-body systems #hep-th #nlin.SI

paper · pdf · doi:10.1088/0305-4470/39/42/001

published as J.Phys. A39 (2006) 13171-13190 · 20 pages, 4 figures, references added

arxiv created 2006/05/11 · openalex publication_date 2006/10/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The noncompact homogeneous sl (3) invariant spin chains are considered. We show that the transfer matrix with generic auxiliary space is factorized into the product of three sl (3) invariant commuting operators. These operators satisfy the finite difference equations in the spectral parameters which follow from the structure of the reducible sl (3) modules.

Citations

• Factorization of the transfer matrices for the quantumsell(2) spin chains and Baxter equation

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