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arXiv · 1011.2891

On the ${\cal{U}}_{q}[sl(2)]$ Temperley-Lieb reflection matrices

A. Lima-Santos
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Abstract

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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A. Lima-Santos. 2010-11-12. On the ${\cal{U}}_{q}[sl(2)]$ Temperley-Lieb reflection matrices. https://doi.org/10.1088/1742-5468%2F2011%2F01%2Fp01009

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