More on the duality correlators/amplitudes

TL;DR

This paper explores a new duality between light-like separated correlation functions of protected operators in N=4 super-Yang-Mills theory and scattering amplitude integrands, extending previous understanding with explicit examples at one and two loops.

Contribution

It introduces a simple relation connecting (n+l)-point tree-level correlators with l Lagrangian insertions to n-particle l-loop MHV amplitude integrands, advancing duality studies.

Findings

Established a duality at one loop with explicit examples.

Extended the duality to two loops with concrete cases.

Connected correlators with scattering amplitudes via Lagrangian insertions.

Abstract

We continue the study of n-point correlation functions of half-BPS protected operators in N=4 super-Yang-Mills theory, in the limit where the positions of the adjacent operators become light-like separated. We compute the l-loop corrections by making l Lagrangian insertions. We argue that there exists a simple relation between the (n+l)-point tree-level correlator with l Lagrangian insertions and the integrand of the n-particle l-loop MHV scattering amplitude, as obtained by the recent momentum twistor construction of Arkani-Hamed et al. We present several examples of this new duality, at one and two loops.