Geodesic
${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the ${\rm GL}(3)$-based quantum integrable models we prove a formula for the Bethe vectors of composite model. We show that this representation is a particular case of general coproduct property of the weight functions (Bethe vectors) found in the theory of the deformed Knizhnik–Zamolodchikov equation.
Keywords: Bethe ansatz; quantum affine algebras, composite models. 
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     author = {Stanislav Pakuliak and Eric Ragoucy and Nikita A. Slavnov},
     title = {${\rm GL}(3)${-Based} {Quantum} {Integrable} {Composite} {Models.} {I.~Bethe} {Vectors}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2015},
     volume = {11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a62/}
}
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Stanislav Pakuliak; Eric Ragoucy; Nikita A. Slavnov. ${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a62/

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