English

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

Statistical Mechanics 2007-05-23 v1 High Energy Physics - Theory Mathematical Physics math.MP Quantum Algebra Exactly Solvable and Integrable Systems

Abstract

We provide two methods of producing the QQ-operator of XXZ spin chain of higher spin, one for NNth root-of-unity qq with odd NN and another for a general qq, 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 QQ-operator for the symmetry study of the theory. The QQ-operator of XXZ chain of higher spin for a generic qq is constructed by extending Baxter's argument in spin-1/2 case for the six-vertex QQ-operator.

Keywords

Cite

@article{arxiv.cond-mat/0702271,
  title  = {On $Q$-operators of XXZ Spin Chain of Higher Spin},
  author = {Shi-shyr Roan},
  journal= {arXiv preprint arXiv:cond-mat/0702271},
  year   = {2007}
}

Comments

Latex 15 pages