Bethe Vectors for Orthogonal Integrable Models

@article{Liashyk2019BetheVF,
  title={Bethe Vectors for Orthogonal Integrable Models},
  author={A Liashyk and S Z Pakuliak and Eric Ragoucy and Nikita Andreevich Slavnov},
  journal={Theoretical and Mathematical Physics},
  year={2019}
}
We consider quantum integrable models associated with $\mathfrak{so}_3$ algebra. We describe Bethe vectors of these models in terms of the current generators of the $\mathcal{D}Y(\mathfrak{so}_3)$ algebra. To implement this approach we use isomorphism between $R$-matrix and Drinfeld current realizations of the Yangians and their doubles for classical types $B$, $C$, and $D$ series algebras. Using these results we derive the actions of the monodromy matrix elements on off-shell Bethe vectors. We… 

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