Reflection matrices for the $U_{q}[sl(m|n)^{(1)}]$ vertex model

preprint2010arXivOpen access

We investigate the possible regular solutions of the boundary Yang-Baxter equation for the vertex models associated with the graded version of the $A_{n-1}^{(1)}$ affine Lie algebra, the $U_{q}[sl(m|n)^{(1)}]$ vertex model, also known as Perk-Schultz model.

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Reflection matrices for the $U_{q}[sl(m|n)^{(1)}]$ vertex model

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Reflection matrices for the Uq[sl(m∣n)(1)]U_{q}[sl(m|n)^{(1)}] Uq​[sl(m∣n)(1)] vertex model

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Reflection matrices for the $U_{q}[sl(m|n)^{(1)}]$ vertex model