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From on-shell amplitude in AdS to cosmological correlators: Gluons and gravitons

Jiajie Mei1,2,* and Yuyu Mo3,4,†

  • 1Department of Mathematical Sciences, Durham University, Durham, DH1 3LE, United Kingdom
  • 2Institute of Physics, University of Amsterdam, Amsterdam, 1098 XH, The Netherlands
  • 3Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3FD, Scotland, United Kingdom
  • 4Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

  • *Contact author: j.mei@uva.nl
  • †Contact author: moyuyu@itp.ac.cn
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Phys. Rev. D 113, 105008 – Published 12 May, 2026

DOI: https://doi.org/10.1103/fh8s-rlxf

Abstract

We recently introduced a recursive bootstrap method for constructing n-point gluon and graviton Mellin-momentum amplitudes in (A)dS spacetime. The power of this approach was illustrated by our successful computation of the first five-point graviton amplitude in (A)dS. In this work, we provide further details of these calculations and start with a more in-depth review of the formalism by offering detailed insights into the motivation for defining on-shell amplitudes in AdS, along with various explicit examples. Furthermore, we demonstrate how cosmological correlators can be effortlessly obtained once the amplitude is determined.

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Phys. Rev. D 113, 105008– Published 12 May, 2026
  • Received 22 November 2025
  • Accepted 25 March 2026
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