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R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain

Sergey E. Derkachov·Alexander N. Manashov
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Abstract

The problem of constructing the $SL(N,\mathbb{C})$ invariant solutions to the Yang-Baxter equation is considered. The solutions ($\mathcal{R}$-operators) for arbitrarily principal series representations of $SL(N,\mathbb{C})$ are obtained in an explicit form. We construct the commutative family of the operators $\mathcal{Q}_k(u)$ which can be identified with the Baxter operators for the noncompact $SL(N,\mathbb{C})$ spin magnet.

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Sergey E. Derkachov, Alexander N. Manashov. 2006-12-02. R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain. https://doi.org/10.3842/sigma.2006.084

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