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BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space

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arxiv 2106.10822 v2 pith:JVJ7C4NP submitted 2021-06-21 hep-th

Pranav Diwakar , Aidan Herderschee , Radu Roiban , Fei Teng This is my paper · ORCID
classification hep-th
keywords spacecorrelatorsboundarydualityrelationsamplitudeamplitudescolor
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

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