On the calculation of the correlation functions of the $\mathfrak{sl}_3$-model by means of the reduced qKZ equation

Abstract

We study the reduced density matrix of the $\mathfrak{sl}_3$-invariant fundamental exchange model by means of a novel reduced quantum Knizhnik-Zamolodchikov equation. This gives us insight into the algebraic structure and explicit results for correlation functions in the infinite chain ranging over up to three sites.