Algebraic Bethe Ansatz solutions for the $sl(2|1{)}^{(2)}$ and $osp(2|1)$ models with boundary terms

Abstract

This work is concerned with the formulation of the graded quantum inverse scattering method for a class oflattice models with reflecting boundary conditions. The $sl(2|1{)}^{(2)}$ and $osp(2|1)$ models are considered with their diagonal reflections in BFB grading. This allowed us to derive the eigenvalues and eigenvectors for the corresponding transfer matrices as well as explicit expressions for the Bethe Ansatz equations.

24 pages, LaTex, minor corrections, 1 added reference

References in corpus (2)

• R-matrices and Spectrum of Vertex Models based on Superalgebras
• Algebraic Bethe Ansatz for the Zamolodchikov-Fateev and Izergin-Korepin models with open boundary conditions

Cited by in corpus (6)

• On $A_{n-1}^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)},A_{2n}^{(2)},A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices
• The algebraic Bethe ansatz for open vertex models
• The algebraic Bethe ansatz for open A_{2n}^{(2)} vertex model
• Reflection $K$-matrices for a nineteen vertex model with $U_q[\mathrm{osp}{\left(2|2\right)}^{\left(2\right)}]$ symmetry
• $osp(1|2)$ off-shell Bethe ansatz equation with boundary terms
• Boundary Algebraic Bethe Ansatz for a nineteen vertex model with $U_q[\mathrm{osp}(2|2{)}^{(2)}]$ symmetry