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

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.