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New recursions for tree-level correlators in (Anti) de Sitter space

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arxiv 2209.02709 v3 pith:UJ7O6BYB submitted 2022-09-06 hep-th gr-qc

New recursions for tree-level correlators in (Anti) de Sitter space

classification hep-th gr-qc
keywords spaceboundarycorrelatorssitteranticurrentsflatmultiparticle
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 wavefunction coefficients after Wick-rotating to de Sitter space.

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Cited by 9 Pith papers

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