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Regular version of the site

Article

On Bethe vectors in gl_3-invariant integrable models

Journal of High Energy Physics. 2018. Vol. 06. No. 018. P. 1-31.
Liashyk A., Slavnov N.

We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing 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.