Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric $R$-Matrix
Mathematical Physics
2013-10-08 v2 Strongly Correlated Electrons
High Energy Physics - Theory
math.MP
Abstract
We study quantum integrable models with GL(3) trigonometric -matrix and solvable by the nested algebraic Bethe ansatz. Using the presentation of the universal Bethe vectors in terms of projections of products of the currents of the quantum affine algebra onto intersections of different types of Borel subalgebras, we prove that the set of the nested Bethe vectors is closed under the action of the elements of the monodromy matrix.
Keywords
Cite
@article{arxiv.1304.7602,
title = {Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric $R$-Matrix},
author = {Samuel Belliard and Stanislav Pakuliak and Eric Ragoucy and Nikita A. Slavnov},
journal= {arXiv preprint arXiv:1304.7602},
year = {2013}
}