We consider gl2-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 onto twisted off-shell Bethe vectors.
@article{arxiv.1802.07576,
title = {A note on $\mathfrak{gl}_2$-invariant Bethe vectors},
author = {S. Belliard and N. A. Slavnov},
journal= {arXiv preprint arXiv:1802.07576},
year = {2019}
}