Superconformal operators in Yang-Mills theories on the light-cone

TL;DR

This paper develops a light-cone superspace method to construct superconformal operators in Yang-Mills theories with various supersymmetries, simplifying their form and confirming known results.

Contribution

It introduces a universal, simplified approach to constructing superconformal operators in N=1,2,4 Yang-Mills theories using light-cone superfields.

Findings

Operators have autonomous one-loop scale dependence.

Operators are expressed in simple, universal forms.

Results match known component field expressions.

Abstract

We employ the light-cone superspace formalism to develop an efficient approach to constructing superconformal operators of twist two in Yang-Mills theories with N=1,2,4 supercharges. These operators have an autonomous scale dependence to one-loop order and determine the eigenfunctions of the dilatation operator in the underlying gauge theory. We demonstrate that for arbitrary N the superconformal operators are given by remarkably simple, universal expressions involving the light-cone superfields. When written in components field, they coincide with the known results obtained by conventional techniques.