Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2010-11-12
Nonlinear Sciences
Exactly Solvable and Integrable Systems
LaTex 17 pages
Scientific paper
This work concerns the boundary integrability of the spin-s ${\cal{U}}_{q}[sl(2)]$ Temperley-Lieb model. A systematic computation method is used to constructed the solutions of the boundary Yang-Baxter equations. For $s$ half-integer, a general $2s(s+1)+3/2$ free parameter solution is presented. It turns that for $s$ integer, the general solution has $2s(s+1)+1$ free parameters. Moreover, some particular solutions are discussed.
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