Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude

TL;DR

This paper derives a precise relation between the AdS Virasoro-Shapiro amplitude and the energy-energy correlator in strongly coupled $ ext{N}=4$ super Yang-Mills, enabling explicit calculations of curvature corrections.

Contribution

It introduces a novel formula linking world-sheet integrals to energy correlators, allowing for explicit computation of stringy effects in gauge theory observables.

Findings

Computed flat-space contribution to the EEC.

Calculated first curvature correction to the EEC.

Provided a framework for stringy energy flow in gauge theories.

Abstract

We establish a precise formula relating the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator (EEC) in $\mathcal{N}=4$ super Yang-Mills theory at strong coupling. This mapping allows us to evaluate the coefficients of the AdS curvature expansion of the EEC in terms of the world-sheet integral over a unit disk. To illustrate this idea, we explicitly compute the flat-space contribution and the first curvature correction to the EEC. Our results provide a rigorous description of the stringy energy flow, demonstrating how world-sheet correlators imprint themselves on collider observables and offering a potential template for effective string descriptions of energy correlators in general gauge theories.