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

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.

preprint2015arXivOpen access
Stanislav PakuliakEric RagoucyNikita A. Slavnov
cond-mat.str-elmath-phmath.MPhep-th
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Stanislav PakuliakEric RagoucyNikita A. Slavnov

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