Four-point correlation function of stress-energy tensors in N=4 superconformal theories

TL;DR

This paper derives a simple, explicit four-point correlation function for stress-energy tensors in N=4 superconformal theories, enabling predictions of related correlators and universal energy-energy flow results without relying on the theory's dynamics.

Contribution

It provides the first explicit, simple form of the four-point stress-energy tensor correlation function in N=4 superconformal theories, based solely on symmetry considerations.

Findings

Derived explicit four-point correlation function expression.

Predicted a broad class of related correlation functions.

Found universal energy-energy correlation functions independent of sources.

Abstract

We derive the explicit expression for the four-point correlation function of stress-energy tensors in four-dimensional N=4 superconformal theory. We show that it has a remarkably simple and suggestive form allowing us to predict a large class of four-point correlation functions involving the stress-energy tensor and other conserved currents. We then apply the obtained results on the correlation functions to computing the energy-energy correlations, which measure the flow of energy in the final states created from the vacuum by a source. We demonstrate that they are given by a universal function independent of the choice of the source. Our analysis relies only on N=4 superconformal symmetry and does not use the dynamics of the theory.