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PreprintCC BY 4.0arXiv

All-multiplicity AdS4 correlators in the self-dual sector

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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BibTeX
@misc{gomez2026allmultiplicity,
  title = {{All-multiplicity $\textrmAdS_4$ correlators in the self-dual sector}},
  author = {Humberto Gomez and Renann Lipinski Jusinskas and Arthur Lipstein and Cristhiam Lopez-Arcos},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32957},
  eprint = {2610.32957},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32957},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - All-multiplicity AdS_4 correlators in the self-dual sector
AU  - Humberto Gomez
AU  - Renann Lipinski Jusinskas
AU  - Arthur Lipstein
AU  - Cristhiam Lopez-Arcos
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32957
UR  - https://arxiv.org/abs/2610.32957
AB  - It was recently shown that tree-level gluon correlators of any multiplicity in 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.
ER  -