Baxter operators for the quantum sl(3) invariant spin chain

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.

20 pages, 4 figures, references added

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Cited by in corpus (7)

• Separation of variables and scalar products at any rank
• R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
• Yang-Baxter R operators and parameter permutations
• Baxter Q-operator for graded SL(2|1) spin chain
• Factorization of R-matrix and Baxter Q-operators for generic sl(N) spin chains
• Noncompact sl(N) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite dimensional transfer matrices
• Factorization of R-matrix and Baxter's Q-operator