Correlators with $s\ell_2$ Yangian symmetry

TL;DR

This paper explores correlators with $s ext{l}_2$ Yangian symmetry and their quantum deformation, revealing their role in defining integral operators, Yang-Baxter operators, and connections to QCD parton evolution.

Contribution

It introduces a framework for Yangian symmetric correlators as kernels of integral operators and relates them to Yang-Baxter operators and QCD evolution kernels.

Findings

Yangian symmetric correlators can serve as kernels for integral operators.

Yang-Baxter operators can be represented using these correlators.

Connections to QCD parton evolution are established.

Abstract

Correlators based on $s\ell_2$ Yangian symmetry and its quantum deformation are studied. Symmetric integral operators can be defined with such correlators as kernels. Yang-Baxter operators can be represented in this way. Particular Yangian symmetric correlators are related to the kernels of QCD parton evolution. The solution of the eigenvalue problem of Yangian symmetric operators is described.