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

53 pages

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Cited by in corpus (4)

• The graviton four-point function in de Sitter space
• Flat-space structure of gluon and graviton in AdS
• Bootstrapping Witten diagrams via differential representation in Mellin space
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry