New recursion relations for tree-level correlators in anti-de Sitter spacetime
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2022-12-15
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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.
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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). https://doi.org/10.1103/PhysRevD.106.L121701