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

Abstract

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.

14 pages

References in corpus (3)

• Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
• Spectrum of the supersymmetric t-J model with non-diagonal open boundaries
• Exact solution and finite size properties of the $U_q[osp(2|2m)]$ vertex model

Cited by in corpus (8)

• Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems
• The Bethe Ansatz Equations for Reflecting Magnons
• On the ${\mathcal{U}}_q[sl(2)]$ Temperley-Lieb reflection matrices
• Non compact continuum limit of two coupled Potts models
• Reflection matrices with $U_q[os{p}^{(2)}(2|2m)]$ symmetry
• 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
• Boundary Algebraic Bethe Ansatz for a nineteen vertex model with $U_q[\mathrm{osp}(2|2{)}^{(2)}]$ symmetry