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

@article{Pakuliak2015GL3BasedQI,
  title={GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors},
  author={S. Pakuliak and E. Ragoucy and N. Slavnov},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2015},
  volume={11},
  pages={063}
}
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. 
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry
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