A Proof of the Supersymmetric Correlation Function / Wilson Loop Correspondence

TL;DR

This paper proves a correspondence between null-separated correlation functions and supersymmetric Wilson loops in N=4 SYM, linking them to superamplitudes in the planar limit at the integrand level.

Contribution

It provides a rigorous proof of the supersymmetric correlation function and Wilson loop correspondence at the integrand level in N=4 SYM.

Findings

Correlation functions equal supersymmetric Wilson loops in the null limit

In the planar limit, objects reduce to the square of superamplitudes

Proof is established at the integrand level

Abstract

We prove that in the limit when its insertion points become pairwise null-separated, the ratio of certain n-point correlation functions in N=4 SYM is equal to a supersymmetric Wilson loop on twistor space, acting in the adjoint representation. In the planar limit, each of these objects reduces to the square of the complete n-particle planar superamplitude. Our proof is at the level of the integrand.