On Bethe vectors in $\mathfrak{gl}_3$-invariant integrable models
Mathematical Physics
2018-07-04 v1 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing -invariant -matrix. We study a new recently proposed approach to construct on-shell Bethe vectors of these models. We prove that the vectors constructed by this method are semi-on-shell Bethe vectors for arbitrary values of Bethe parameters. They thus do become on-shell vectors provided the system of Bethe equations is fulfilled.
Keywords
Cite
@article{arxiv.1803.07628,
title = {On Bethe vectors in $\mathfrak{gl}_3$-invariant integrable models},
author = {A. Liashyk and N. A. Slavnov},
journal= {arXiv preprint arXiv:1803.07628},
year = {2018}
}
Comments
31 pages, no figures