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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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Details
1 Pennsylvania State University, Department of Physics, University Park, USA (GRID:grid.29857.31) (ISNI:0000 0001 2097 4281)
2 The University of Michigan, Leinweber Center for Theoretical Physics, Randall Laboratory of Physics, Ann Arbor, USA (GRID:grid.214458.e) (ISNI:0000000086837370)