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arXiv:1803.07628 · Journal of High Energy Physics

On Bethe vectors in $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models

Andrii Nikolaevich Liashyk, N. A. Slavnov

Published Jun 1, 2018• 32 citations
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Abstract

Abstract We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing $$ \mathfrak{g}{\mathfrak{l}}_3 $$ g l 3 -invariant R-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.

DOI
10.1007/jhep06(2018)018

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