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New recursion relations for tree-level correlators in anti–de Sitter spacetime

Armstrong, Connor; Gomez, Humberto; Lipinski Jusinskas, Renann; Lipstein, Arthur; Mei, Jiajie

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Humberto Gomez

Renann Lipinski Jusinskas


We present for the first time classical multiparticle solutions in anti–de Sitter space (AdS) involving scalars, gluons, and gravitons. They are recursively defined through multiparticle currents which reduce to Berends-Giele currents in the flat space limit. This construction exposes a compact definition of tree-level boundary correlators using a general prescription that removes unphysical boundary contributions. Similarly to the flat space perturbiner, a convenient gauge choice leads to a scalar basis for all degrees of freedom, while the tensor structure is exclusively captured by field theory vertices. This provides a fully automated way to compute AdS boundary correlators to any multiplicity and cosmological wave function coefficients after Wick rotating to de Sitter space.


Armstrong, C., Gomez, H., Lipinski Jusinskas, R., Lipstein, A., & Mei, J. (2022). New recursion relations for tree-level correlators in anti–de Sitter spacetime. Physical Review D, 106(12),

Journal Article Type Article
Acceptance Date Nov 8, 2022
Online Publication Date Dec 22, 2022
Publication Date Dec 15, 2022
Deposit Date Dec 22, 2022
Publicly Available Date Jan 3, 2023
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 106
Issue 12
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Published Journal Article (348 Kb)

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Copyright Statement
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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