Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix

Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix

We study quantum integrable models with GL(3) trigonometric $R$-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 $U_q(widehat{mathfrak{gl}}_3)$ onto interse...

Full description

Bibliographic Details
Main Authors: Samuel Belliard, Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
nested algebraic Bethe ansatz
Bethe vector
current algebra
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.058
Description
Summary:We study quantum integrable models with GL(3) trigonometric $R$-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 $U_q(widehat{mathfrak{gl}}_3)$ 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 monodromymatrix.
ISSN:1815-0659

Similar Items