Abstract
We present a systematic study of holographic correlators in a vast array of SCFTs with non-maximal superconformal symmetry. These theories include 4d mathcal{N} = 2 SCFTs from D3-branes near F-theory singularities, 5d Seiberg exceptional theories and 6d E-string theory, as well as 3d and 4d phenomenological models with probe flavor branes. We consider current multiplets and their generalizations with higher weights, dual to massless and massive super gluons in the bulk. At leading order in the inverse central charge expansion, connected four-point functions of these operators correspond to tree-level gluon scattering amplitudes in AdS. We show that all such tree-level four-point amplitudes in all these theories are fully fixed by symmetries and consistency conditions and explicitly construct them. Our results encode a wealth of SCFT data and exhibit various interesting emergent structures. These include Parisi-Sourlas-like dimensional reductions, hidden conformal symmetry and an AdS version of the color-kinematic duality.
Highlights
There has been significant progress in computing holographic correlators, which just a few years ago was still considered a notoriously difficult problem.1 Tree-level fourpoint functions of arbitrary-BPS operators have been fully computed in all maximally superconformal CFTs by using a universal constructive method [6, 7].2 The results exhibit surprising universality and simplicity, and extend the success of earlier bootstrap approaches [8,9,10,11,12,13,14] which were most powerful when applied to strongly coupled N = 4 SYM
We present a systematic study of holographic correlators in a vast array of SCFTs with non-maximal superconformal symmetry
By only inputting the spectrum and imposing superconformal symmetry, we show that four-point amplitudes in vast families of theories are completely fixed
Summary
There has been significant progress in computing holographic correlators, which just a few years ago was still considered a notoriously difficult problem. Tree-level fourpoint functions of arbitrary. To appreciate the full richness of our results we need to go back to finite AdS curvature where more interesting mathematical structures become visible Some of these structures have analogues in super graviton amplitudes in maximally supersymmetric theories, while other features are only possible with less supersymmetry and are new. A closer look at the sum reveals that it is identical to just a single scalar exchange Witten diagram which lives in a lower dimensional AdSd−1 space This curious dimensional reduction phenomenon turns out to be related to a holographically realized Parisi-Sourlas supersymmetry [35], and is a feature shared by all the AdS supersymmetric gauge theories considered in this paper. In appendix D we discuss contact terms and higher-derivative corrections in various dimensions
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