All-multiplicity AdS4 correlators in the self-dual sector
Humberto Gomez, Renann Lipinski Jusinskas, Arthur Lipstein, Cristhiam Lopez-Arcos
Abstract
It was recently shown that tree-level gluon correlators of any multiplicity in AdS4 admit an expansion in terms of flat-space scattering amplitudes, where lower-point amplitudes in the expansion depend on merged external data. We derive here analogous formulae for correlators of scalar theories which encode the self-dual sectors of Yang-Mills theory and gravity in this background. In the latter case, the amplitudes are differential operators which can be obtained from the former using a simple double copy prescription in terms of kinematic numerators satisfying color-kinematics duality.
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