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}
}
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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