Integrable Spin Chains Associated to $\widehat{sl_q(n)}$ and $\widehat{sl_{p,q}(n)}$

Physics – High Energy Physics – High Energy Physics - Theory

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12 pages,PLAIN TEX

Scientific paper

10.1088/0305-4470/28/12/006

The Hoft structure of the central extension of the $U_q \left( \widehat{sl\left( n \right) }\right)$ algebra is considered. The intertwine matrix induces new integrable spin chain models. We show the relation of these models and the biparametric spin chain $\widehat{sl_{p,q} \left( n \right)}$ models. The cases $n=2$ are $n=3$ are discussed and for $n=2$ we obtain the model of Dasgupta and Chowdhury . The case $n=3$ is solved with nested Bethe ansatz method and it is showed the dependence of the Bethe equations in the second parameter introduced

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