# 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}
}
• Published 7 June 2019
• Mathematics
• Theoretical and Mathematical Physics
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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This thesis consists of four papers. In the first paper we present methods and explicit formulas for describing simple weight modules over twisted generalized Weyl algebras. Under certain conditions
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• Mathematics
Communications in Mathematical Physics
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It is well-known that the Gauss decomposition of the generator matrix in the R-matrix presentation of the Yangian in type A yields generators of its Drinfeld presentation. Defining relations between
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