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

Abstract

Abstract We study four-point functions of spinning operators in the flavor current multiplet in four dimensional N $$ \mathcal{N} $$ = 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 AdS5 and we give evidence of an AdS double copy relation between the gluon amplitude and its gravitational counterpart.

Keywords

• AdS-CFT Correspondence
• Extended Supersymmetry
• Scale and Conformal Symmetries
• Superspaces