${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors

Symmetry Integrability and Geometry-Methods and Applications

article

Stanislav Pakuliak¹  Eric Ragoucy²  Nikita A. Slavnov³ 

[1] Institute of Theoretical & Experimental Physics, Russia Institute of Theoretical & Experimental Physics;Laboratoire de Physique Théorique LAPTH, CNRS and Université de Savoie;Steklov Mathematical Institute

关键词: Bethe ansatz;    quantum af fine algebras;    composite models;   

DOI  :  10.3842/SIGMA.2015.063

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown