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arXiv · 1501.07566

GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors

Stanislav Pakuliak·Eric Ragoucy·Nikita A. Slavnov
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Abstract

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 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.

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Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov. 2015-01-29. GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors. https://doi.org/10.3842/sigma.2015.063

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