Superconformal Invariants or How to Relate Four-point AdS Amplitudes

TL;DR

This paper derives a relation between components of four-point correlators in N=4 Super Yang-Mills using superconformal invariants, revealing consistency with supergravity amplitudes in AdS5.

Contribution

It introduces a new differential operator framework to connect correlator components and relates gauge theory results to supergravity amplitudes.

Findings

Explicit relation between correlator components derived

Differential operator acting on two-variable function established

Consistency with supergravity amplitudes demonstrated

Abstract

Using the form of N=2 superconformal invariants we derive the explicit relation between the bottom and top components of the correlator of four stress-tensor multiplets in N=4 Super Yang-Mills. The result is given in terms of an eighth order differential operator acting on the function of two variables which characterises these correlators. It allows us to show a non-trivial consistency relation between the known results for the corresponding supergravity amplitudes on AdS5.