Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$-Invariant Integrable Models
Mathematical Physics
2016-10-11 v2 math.MP
Abstract
We study symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show that the result of these actions is a finite linear combination of Bethe vectors. The obtained formulas open a way for studying scalar products of Bethe vectors.
Keywords
Cite
@article{arxiv.1605.06419,
title = {Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$-Invariant Integrable Models},
author = {Arthur Hutsalyuk and Andrii Liashyk and Stanislav Z. Pakuliak and Eric Ragoucy and Nikita A. Slavnov},
journal= {arXiv preprint arXiv:1605.06419},
year = {2016}
}