Reflection matrices for the $U_{q}[osp(r|2m)^{(1)}]$ vertex model

Abstract

The graded reflection equation is investigated for the $U_{q}[osp(r|2m)^{(1)}]$ vertex model. We have found four classes of diagonal solutions with at the most one free parameter and twelve classes of non-diagonal ones with the number of free parameters depending on the number of bosonic ($r$) and fermionic ($2m$) degrees of freedom.