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All loop structures in Supergravity Amplitudes on $AdS_5 \times S^5$ from CFT

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arxiv 2010.12557 v3 pith:GVGDUIGU submitted 2020-10-23 hep-th

Agnese Bissi , Giulia Fardelli , Alessandro Georgoudis This is my paper · ORCID
classification hep-th
keywords structuressupergravityamplitudesmadeordertimesamplitudeappear
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We computed a set of structures which appear in the four-point function of protected operators of dimension two in $\mathcal{N}=4$ Super Yang Mills with $SU(N)$ gauge group, at any order in a large $N$ expansion. They are determined only by leading order CFT data. By focusing on a specific limit, we made connection with the dual supergravity amplitude in flat space, where such structures correspond to iterated $s$-cuts. We made several checks and we conjecture that the same interpretation holds for supergravity amplitudes on $AdS_5 \times S^5$.

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Cited by 1 Pith paper

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  1. Composite operators in $\mathcal{N}=4$ Super Yang-Mills

    hep-th 2024-12 conditional novelty 6.0 of 10

    Protected symmetry data alone fix the tree-level supergravity correlators of dimension-four double-trace operators, revealing anomalous dimensions for triple-trace operators.

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