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

Diwakar, Pranav·Herderschee, Aidan·Roiban, Radu·Teng, Fei
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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.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSAdS-CFT CorrespondenceScattering Amplitudes

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Diwakar, Pranav, Herderschee, Aidan, Roiban, Radu, Teng, Fei. 2021-10-18. BCJ amplitude relations for Anti-de Sitter boundary correlators in embedding space. https://doi.org/10.1007/jhep10(2021)141

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