Boundary Algebraic Bethe Ansatz for a nineteen vertex model with $U_{q}[\mathrm{osp}(2|2)^{(2)}]$ symmetry
Exactly Solvable and Integrable Systems
2019-08-21 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
The boundary algebraic Bethe Ansatz for a supersymmetric nineteen vertex-model constructed from a three-dimensional representation of the twisted quantum affine Lie superalgebra is presented. The eigenvalues and eigenvectors of Sklyanin's transfer matrix, with diagonal reflection -matrices, are calculated and the corresponding Bethe Ansatz equations are obtained.
Keywords
Cite
@article{arxiv.1705.08953,
title = {Boundary Algebraic Bethe Ansatz for a nineteen vertex model with $U_{q}[\mathrm{osp}(2|2)^{(2)}]$ symmetry},
author = {R. S. Vieira and A. Lima Santos},
journal= {arXiv preprint arXiv:1705.08953},
year = {2019}
}
Comments
Keywords: Algebraic Bethe Ansatz, Open boundary conditions, Lie superalgebras, twisted Lie algebras, nineteen vertex-models