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On $Q$-operators of XXZ Spin Chain of Higher Spin

Shi-shyr Roan
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Abstract

We provide two methods of producing the $Q$-operator of XXZ spin chain of higher spin, one for $N$th root-of-unity $q$ with odd $N$ and another for a general $q$, as the generalization of those known in the six-vertex model. In the root-of-unity case, we discuss the functional relations involving the constructed $Q$-operator for the symmetry study of the theory. The $Q$-operator of XXZ chain of higher spin for a generic $q$ is constructed by extending Baxter's argument in spin-1/2 case for the six-vertex $Q$-operator.

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Shi-shyr Roan. 2007-02-12. On $Q$-operators of XXZ Spin Chain of Higher Spin. https://arxiv.org/abs/cond-mat/0702271

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