Integrable Spin Chains Associated to $\widehat{s{l}_q(n)}$ and $\widehat{s{l}_{p,q}(n)}$

Abstract

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 $\widehat{s{l}_{p,q}\left(n\right)}$ 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

12 pages,PLAIN TEX

References in corpus (4)

• Exact Bethe Ansatz solution for $A_{n-1}$ chains with non-$S{U}_q(n)$ invariant open boundary conditions
• New Integrable Deformations of Higher Spin Heisenberg-Ising Chains
• On a New Class of Integrable Models
• Representations of the quantum matrix algebra $M_{q,p}(2)$

Cited by in corpus (5)

• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Nested Bethe ansatz for "all" closed spin chains
• On spin chains and field theories
• The su(N) XX model
• Integrable su(3) spin chain combining different representations