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arXiv · 2610.32957

All-multiplicity $\textrm{AdS}_4$ correlators in the self-dual sector

Humberto Gomez·Renann Lipinski Jusinskas·Arthur Lipstein·Cristhiam Lopez-Arcos
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Abstract

It was recently shown that tree-level gluon correlators of any multiplicity in $\textrm{AdS}_4$ 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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Humberto Gomez, Renann Lipinski Jusinskas, Arthur Lipstein, Cristhiam Lopez-Arcos. 2026-10-23. All-multiplicity $\textrm{AdS}_4$ correlators in the self-dual sector. https://arxiv.org/abs/2610.32957

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