Bethe vectors of the osp(1|2) Gaudin model
Exactly Solvable and Integrable Systems
2007-05-23 v2 High Energy Physics - Theory
Quantum Algebra
Abstract
The eigenvectors of the osp(1|2) invariant Gaudin hamiltonians are found using explicitly constructed creation operators. Commutation relations between the creation operators and the generators of the loop superalgebra are calculated. The coordinate representation of the Bethe states is presented. The relation between the Bethe vectors and solutions to the Knizhnik-Zamolodchikov equation yields the norm of the eigenvectors.
Keywords
Cite
@article{arxiv.nlin/0010057,
title = {Bethe vectors of the osp(1|2) Gaudin model},
author = {P. P. Kulish and N. Manojlovic},
journal= {arXiv preprint arXiv:nlin/0010057},
year = {2007}
}
Comments
16 pages, Latex2e; added the norm of the eigenstates and some refereces