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R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
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R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
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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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Cited by 1 Pith paper
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The boundary-driven multispecies harmonic process
A multispecies harmonic process with boundary reservoirs is introduced and proven Yang-Baxter integrable via a factorized R-matrix and open-chain K-matrices, with three dual processes.
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