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arXiv · 1803.07628

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

A. Liashyk·N. A. Slavnov
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Abstract

We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing $\mathfrak{gl}_3$-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.

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BibTeXRIS

A. Liashyk, N. A. Slavnov. 2018-03-20. On Bethe vectors in $\mathfrak{gl}_3$-invariant integrable models. https://doi.org/10.1007/jhep06(2018)018

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