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  • Letter
  • Open Access

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

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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Phys. Rev. D 106, L121701 – Published 22 December, 2022

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

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.

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Phys. Rev. D 106, L121701– Published 22 December, 2022
  • Received 13 September 2022
  • Accepted 8 November 2022
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