Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation

TL;DR

This paper computes four-point functions of 1/2-BPS operators in N=4 SYM using supergravity, providing a comprehensive database and confirming Mellin-space conjectures for most cases.

Contribution

It introduces a simplified algorithm combined with harmonic polynomial formalism to calculate high-weight correlators in supergravity, expanding existing computational methods.

Findings

Computed correlators up to weight 8 and some higher weights.

Confirmed Mellin-space conjecture for most correlators.

Provided a publicly available database of results.

Abstract

We present the computation of all the correlators of 1/2-BPS operators in $\mathcal{N} = 4$ SYM with weights up to 8 as well as some very high-weight correlation functions from the effective supergravity action. The computation is done by implementing the recently developed simplified algorithm in combination with the harmonic polynomial formalism. We provide a database of these results attached to this publication and additionally check for almost all of the functions in this database that they agree with the conjecture on their Mellin-space form.