• Letter
  • Open Access

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

Connor Armstrong, Humberto Gomez, Renann Lipinski Jusinskas, Arthur Lipstein, and Jiajie Mei
Phys. Rev. D 106, L121701 – Published 22 December 2022
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Abstract

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.

  • Figure
  • Received 13 September 2022
  • Accepted 8 November 2022

DOI:https://doi.org/10.1103/PhysRevD.106.L121701

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.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Connor Armstrong1, Humberto Gomez1,2, Renann Lipinski Jusinskas3, Arthur Lipstein1, and Jiajie Mei1

  • 1Department of Mathematical Sciences, Durham University, Stockton Road, DH1 3LE Durham, United Kingdom
  • 2Facultad de Ciencias Basicas, Universidad Santiago de Cali, Calle 5 N° 62-00 Barrio Pampalinda, Cali, Valle, Colombia
  • 3Institute of Physics of the Czech Academy of Sciences & CEICO, Na Slovance 2, 18221 Prague, Czech Republic

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Issue

Vol. 106, Iss. 12 — 15 December 2022

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