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

Abstract

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.

30 pages

References in corpus (2)

• Nested Bethe ansatz for `all' open spin chains with diagonal boundary conditions
• $A_{n-1}^{(1)}$ Reflection K-Matrices

Cited by in corpus (3)

• Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems
• 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