A note on $\mathfrak{gl}_2$-invariant Bethe vectors
Résumé
We consider $ \mathfrak{g}{\mathfrak{l}}_2 $ -invariant quantum integrable models solvable by the algebraic Bethe ansatz. We show that the form of on-shell Bethe vectors is preserved under certain twist transformations of the monodromy matrix. We also derive the actions of the twisted monodromy matrix entries on the twisted off-shell Bethe vectors.
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