English

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

Exactly Solvable and Integrable Systems 2010-04-08 v2 High Energy Physics - Theory

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(21)(2)sl(2|1)^{(2)} and osp(21)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.

Keywords

Cite

@article{arxiv.nlin/0407006,
  title  = {Algebraic Bethe Ansatz solutions for the $sl(2|1)^{(2)}$ and $osp(2|1)$ models with boundary terms},
  author = {V. Kurak and A. Lima-Santos},
  journal= {arXiv preprint arXiv:nlin/0407006},
  year   = {2010}
}

Comments

24 pages, LaTex, minor corrections, 1 added reference