BCJ amplitude relations for Anti-de Sitter boundary correlators in embedding space

Pranav Diwakar, Aidan Herderschee, Radu Roiban, Fei Teng

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

We generalize the color/kinematics duality of flat-space scattering amplitudes to the embedding space formulation of AdS boundary correlators. Kinematic numerators and propagators are replaced with differential operators acting on a scalar contact diagram that is the AdS generalization of the momentum conserving delta function of flat space scattering amplitudes. We show that color/kinematics duality implies differential relations among AdS boundary correlators that naturally generalize the flat space BCJ amplitude relations and verify them for the correlators of Yang-Mills theory and of the Nonlinear Sigma Model through four- and six-points, respectively. For the latter we also find representations of the four- and six-point correlator that manifest the duality. Possible double-copy procedures in AdS space are also discussed.

Original languageEnglish (US)
Article number141
JournalJournal of High Energy Physics
Volume2021
Issue number10
DOIs
StatePublished - Oct 2021

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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