# 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…

## 9 Citations

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Multiple actions of the monodromy matrix elements onto off-shell Bethe vectors in the gl(m|n)-invariant quantum integrable models are calculated. These actions are used to describe recursions for the…

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