# Algebraic Bethe ansatz for $$\mathfrak o_{2n+1}$$ -invariant integrable models

@article{Liashyk2021AlgebraicBA,
title={Algebraic Bethe ansatz for

\$\$\mathfrak o\_\{2n+1\}\$\$
-invariant integrable models},
author={Andrii Liashyk and S Z Pakuliak},
journal={Theoretical and Mathematical Physics},
year={2021},
volume={206},
pages={19-39}
}
• Published 9 August 2020
• Mathematics
• Theoretical and Mathematical Physics
Abstract We study the class of $$\mathfrak{o} _{2n+1}$$ -invariant quantum integrable models in the framework of the algebraic Bethe ansatz and propose a construction of the $$\mathfrak{o} _{2n+1}$$ -invariant Bethe vector in terms of the Drinfeld currents for the Yangian double $$\mathcal{D}Y ( \mathfrak{o} _{2n+1})$$ . We calculate the action of the monodromy matrix elements on the off-shell Bethe vectors for these models and obtain recurrence relations for these vectors. The action…

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