Spinning correlators in N=2 SCFTs: Superspace and AdS amplitudes

We study four-point functions of spinning operators in the flavor current multiplet in four dimensional 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 AdS(5) and we give evidence of an AdS double copy relation between the gluon amplitude and its gravitational counterpart.

Automated summary

We study the four-point functions of spinning operators in the flavor current multiplet in four-dimensional N = 2 SCFTs using superspace techniques. We explicitly construct the differential operators that relate the different components of the super-correlator. As a result, we also compute the four-point amplitudes of gluons in bosonic Yang-Mills theories on AdS(5) and provide evidence for an AdS double copy relation between the gluon amplitude and its gravitational counterpart.