GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors
Mathematical Physics
2015-08-03 v3 Strongly Correlated Electrons
High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.1501.07566,
title = {GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors},
author = {Stanislav Pakuliak and Eric Ragoucy and Nikita A. Slavnov},
journal= {arXiv preprint arXiv:1501.07566},
year = {2015}
}
Comments
The title has been changed to make clearer the connexion with the preprint arXiv:1502.01966