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Multiple actions of the monodromy matrix in $\mathfrak{gl}(2|1)$-invariant integrable models
Symmetry, integrability and geometry: methods and applications, Tome 12 (2016) Cet article a éte moissonné depuis la source Math-Net.Ru

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We study $\mathfrak{gl}(2|1)$ symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show that the result of these actions is a finite linear combination of Bethe vectors. The obtained formulas open a way for studying scalar products of Bethe vectors.
Keywords: algebraic Bethe ansatz; superalgebras; scalar product of Bethe vectors. 
@article{SIGMA_2016_12_a98,
     author = {Arthur Hutsalyuk and Andrii Liashyk and Stanislav Z. Pakuliak and Eric Ragoucy and Nikita A. Slavnov},
     title = {Multiple actions of the monodromy matrix in $\mathfrak{gl}(2|1)$-invariant integrable models},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2016},
     volume = {12},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2016_12_a98/}
}
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Arthur Hutsalyuk; Andrii Liashyk; Stanislav Z. Pakuliak; Eric Ragoucy; Nikita A. Slavnov. Multiple actions of the monodromy matrix in $\mathfrak{gl}(2|1)$-invariant integrable models. Symmetry, integrability and geometry: methods and applications, Tome 12 (2016). http://geodesic.mathdoc.fr/item/SIGMA_2016_12_a98/

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