Cosmological Double-Copy Relations

TL;DR

This paper develops differential double-copy relations in (A)dS space, enabling the construction of conformally invariant correlators from flat-space amplitude kinematics using differential operators.

Contribution

It introduces a novel set of differential operators in (A)dS that generalize flat-space on-shell kinematics for constructing correlators with double-copy structure.

Findings

Correlators are conformally invariant and have the correct flat-space limit.

The method provides a systematic way to generate (A)dS correlators from flat-space amplitudes.

The approach reveals a differential double-copy structure in (A)dS space.

Abstract

We present differential double-copy relations between gluon and graviton three-point functions in (A)dS$_{d+1}$. We introduce a set of differential operators in (A)dS that naturally generalize on-shell kinematics of scattering amplitudes in flat space. This provides a way to construct (A)dS correlators by replacing the kinematic variables of amplitudes with the corresponding differential operators and suitably ordering them. By construction, the resulting correlators are manifestly conformally invariant, with the correct flat-space limit, and exhibit a differential double-copy structure.