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Algebraic Bethe ansatz for $\mathfrak{o}_{2n+1}$-invariant integrable models
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abstract
A class of $\mathfrak{o}_{2n+1}$-invariant quantum integrable models is investigated in the framework of algebraic Bethe ansatz method. A construction of the $\mathfrak{o}_{2n+1}$-invariant Bethe vector is proposed in terms of the Drinfeld currents for the double of Yangian $\mathcal{D}Y(\mathfrak{o}_{2n + 1})$. Action of the monodromy matrix entries onto off-shell Bethe vectors for these models is calculated. Recursion relations for these vectors were obtained. The action formulas can be used to investigate structure of the scalar products of Bethe vectors in $\mathfrak{o}_{2n+1}$-invariant models.
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Bethe Vectors in Quantum Integrable Models with Classical Symmetries
A unified RTT-based definition of off-shell Bethe vectors for gl_n, so(2n+1), sp(2n), and so(2n) integrable models, from which action formulas, recurrence relations, coproducts, and the on-shell eigenvector property a...
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