Reflection matrices for the $U_q[spo(2n|2m)]$ vertex model

Abstract

We propose a classification of the solutions of the graded reflection equations to the $U_q[spo(2n|2m)]$ vertex model. We find twelve distinct classes of reflection matrices such that four of them are diagonal. In the non-diagonal matrices the number of free parameters depending on the number of bosonic ($2n$) and fermionic ($2m$) degrees of freedom while in the diagonal ones we find solutions with at most one free parameter.

20 pages, LaTex

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Cited by in corpus (2)

• Reflection $K$-matrices for a nineteen vertex model with $U_q[\mathrm{osp}{\left(2|2\right)}^{\left(2\right)}]$ symmetry
• On the ${\mathcal{U}}_q[osp(1|2)]$ Temperley-Lieb model