Yangian symmetric correlators

TL;DR

This paper develops a framework for Yangian symmetric correlators in high-dimensional theories using monodromy operators and the Quantum inverse scattering method, highlighting their role in symmetry and integrability.

Contribution

It introduces explicit expressions and relations for Yangian symmetric correlators based on monodromy operators with Jordan-Schwinger L matrices.

Findings

Explicit formulas for Yangian symmetric correlators

Relations derived from monodromy operator properties

Framework applicable to high-dimensional integrable theories

Abstract

Similarity transformations and eigenvalue relations of monodromy operators composed of Jordan-Schwinger type L matrices are considered and used to define Yangian symmetric correlators of n-dimensional theories. Explicit expressions are obtained and relations are formulated. In this way basic notions of the Quantum inverse scattering method provide a convenient formulation for high symmetry and integrability not only in lower dimensions.