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Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types
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abstract
We consider relations between Gauss coordinates of $T$-operators for the Yangian doubles of the classical types corresponding to the algebras $\mathfrak{g}$ of $A$, $B$, $C$ and $D$ series and the current generators of these algebras. These relations are important for the applications in the quantum integrable models related to $\mathfrak{g}$-invariant $R$-matrices and construction of the Bethe vectors in these 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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