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Gluon Scattering in AdS from CFT
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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.
Forward citations
Cited by 7 Pith papers
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Extremal bulk couplings between graviton and gluon modes are computed in F-theory AdS/CFT, yielding the graviton exchange term and a complete 1/N² correlator for the D4 theory.
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A position-space flat-space limit formula for holographic defect two-point functions is derived, proven equivalent to the Mellin-space conjecture, and checked against Wilson loops, surface defects, and giant gravitons.
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Gleaning gravitational amplitudes -- a double copy for canceling dilatons
An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.
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Monodromy Relations for String Amplitudes on AdS
The authors conjecture a set of monodromy relations for the AdS Veneziano amplitude, upgrade the flat-space relations with operators acting on multiple polylogarithms, and verify them against all known curvature corre...
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Composite operators in $\mathcal{N}=4$ Super Yang-Mills
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One-loop meson correlators in two N=2 SCFTs resum into generating functions that display hidden 8d conformal structure at weak coupling.
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