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New relation for AdS amplitudes

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arxiv 1904.10043 v3 pith:4GKUQWLA submitted 2019-04-22 hep-th gr-qc

classification hep-thgr-qc
keywords amplitudessimplespacevectoralgebraicallyalgorithmallowanti-de
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper, we present a simple and iterative algorithm that computes Anti-de Sitter space scattering amplitudes. We focus on the vector correlators in AdS in four dimensions in momentum space. These new combinatorial relations will allow one to generate tree level amplitudes algebraically, without having to do any explicit bulk integrations; hence, leading to a simple method of calculating higher point vector amplitudes.

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  1. Tree-level four-point function for a scalar field conformally coupled to Einstein's gravity on Euclidean AdS4

    hep-th 2025-01 conditional novelty 6.0 of 10

    A momentum-space formula is derived for the tree-level four-point boundary correlator of a conformally coupled scalar with graviton exchange in Euclidean AdS4.

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