Reflection matrices for the $U_{q}[sl(r|2m)^{(2)}]$ vertex model

preprint2008arXivOpen access

The graded reflection equation is investigated for the $U_{q}[sl(r|2m)^{(2)}]$ vertex model. We have found four classes of diagonal solutions and twelve classes of non-diagonal ones. The number of free parameters for some solutions depends on the number of bosonic and fermionic degrees of freedom considered.

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Reflection matrices for the $U_{q}[sl(r|2m)^{(2)}]$ vertex model

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Reflection matrices for the Uq[sl(r∣2m)(2)]U_{q}[sl(r|2m)^{(2)}]Uq​[sl(r∣2m)(2)] vertex model

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Reflection matrices for the $U_{q}[sl(r|2m)^{(2)}]$ vertex model