Off-Shell Bethe Ansatz Equation for $osp(2|1)$ Gaudin Magnets
Exactly Solvable and Integrable Systems
2009-10-31 v1 High Energy Physics - Theory
Abstract
The semi-classical limit of the algebraic Bethe Ansatz method is used to solve the theory of Gaudin models. Via the off-shell method we find the spectra and eigenvectors of the N-1 independent Gaudin Hamiltonians with symmetry osp(2|1). We also show how the off-shell Gaudin equation solves the trigonometric Knizhnik- Zamolodchikov equation.
Keywords
Cite
@article{arxiv.nlin/0008002,
title = {Off-Shell Bethe Ansatz Equation for $osp(2|1)$ Gaudin Magnets},
author = {A. Lima-Santos and W. Utiel},
journal= {arXiv preprint arXiv:nlin/0008002},
year = {2009}
}
Comments
21 pages, LaTex