GL (3)-based quantum integrable composite models. I. Bethe vectors
S Pakuliak, E Ragoucy, NA Slavnov - SIGMA. Symmetry, Integrability and …, 2015 - emis.de
S Pakuliak, E Ragoucy, NA Slavnov
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 2015•emis.deWe 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.
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.
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 -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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