arXiv:1501.07566 · Symmetry Integrability and Geometry Methods and Applications

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

Stanislav Zdislavovich Pakuliak, E. Ragoucy, Université de Savoie, France, Nikita A. Slavnov

Published Jul 31, 2015• 33 citations

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.

DOI: 10.3842/sigma.2015.063

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