Spinning correlators in $\mathcal{N} = 2$ SCFTs: Superspace and AdS amplitudes

TL;DR

This paper analyzes four-point functions of spinning operators in 4D $ ext{N}=2$ SCFTs using superspace, and explores AdS amplitudes and a potential double copy relation between gauge and gravity theories.

Contribution

It explicitly constructs differential operators for super-correlators in $ ext{N}=2$ SCFTs and reports new computations of gluon amplitudes in AdS$_5$ with evidence of a double copy relation.

Findings

Constructed differential operators relating super-correlator components.

Computed four-point gluon amplitudes in AdS$_5$ Yang-Mills theories.

Provided evidence for an AdS double copy relation between gluon and gravitational amplitudes.

Abstract

We study four-point functions of spinning operators in the flavor current multiplet in four dimensional $\mathcal{N}=2$ SCFTs, using superspace techniques. In particular we explicitly construct the differential operators relating the different components of the super-correlator. As a byproduct of our analysis, we report the computation of the four-point amplitudes of gluons in bosonic Yang-Mills theories on $\mathrm{AdS}_5$ and we give evidence of an AdS double copy relation between the gluon amplitude and its gravitational counterpart.