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

TL;DR

This paper introduces a new approach using a reduced quantum Knizhnik-Zamolodchikov equation to compute correlation functions of the $rak{sl}_3$-model, providing explicit results for up to three sites.

Contribution

It presents a novel reduced qKZ equation method to analyze the algebraic structure and calculate correlation functions in the $rak{sl}_3$-model.

Findings

Explicit correlation functions for up to three sites

New algebraic insights into the $rak{sl}_3$-model

Enhanced understanding of the model's structure

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.