Bethe vectors of GL(3)-invariant integrable models

TL;DR

This paper investigates the structure of Bethe vectors in SU(3)-invariant integrable models, providing formulas and actions relevant for calculating correlation functions and form factors in quantum systems.

Contribution

It introduces new formulas for Bethe vectors and analyzes the actions of Yangian generators, advancing the understanding of SU(3)-invariant integrable models.

Findings

Formulas for Bethe vectors are derived.

Actions of Yangian Y(sl(3)) generators on Bethe vectors are characterized.

Results facilitate computation of correlation functions and form factors.

Abstract

We study SU(3)-invariant integrable models solvable by nested algebraic Bethe ansatz. Different formulas are given for the Bethe vectors and the actions of the generators of the Yangian Y(sl(3)) on Bethe vectors are considered. These actions are relevant for the calculation of correlation functions and form factors of local operators of the underlying quantum models.