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Gluon Scattering in AdS from CFT

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arxiv 2103.15830 v4 pith:UVVBIJCH submitted 2021-03-29 hep-th

classification hep-th
keywords theoriesamplitudesfour-pointgluonincludescatteringscftssymmetry
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Extremal couplings, graviton exchange, and gluon scattering in AdS

    hep-th 2025-05 conditional novelty 8.0 of 10

    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.

  2. Notes on flat-space limit of holographic defect correlators in position space

    hep-th 2025-07 accept novelty 7.0 of 10

    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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