Four twisted differential operators for the N=4 superconformal algebra

TL;DR

This paper explores four differential operators within the N=4 superconformal algebra that help define and understand the structure of N=4 Yang-Mills theory, offering insights into its symmetry properties.

Contribution

It introduces and analyzes four specific differential operators that characterize a key sub-sector of the N=4 superconformal algebra, providing a new perspective on the theory's symmetry structure.

Findings

The four differential operators determine the N=4 theory's structure.

Invariance under these operators constrains the theory significantly.

Initial interpretations of these operators are proposed.

Abstract

The N=4, d=4 Yang-Mills conformal supersymmetry exhibits a very simple sub-sector described by four differential operators. The invariance under this subalgebra is big enough to determine the N=4 theory. Some attempts are done to interpret these differential operators.