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Towards All Loop Supergravity Amplitudes on $AdS_5 \times S^5$

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arxiv 2002.04604 v2 pith:TPPUH2VO submitted 2020-02-11 hep-th

A. Bissi , G. Fardelli , A. Georgoudis This is my paper · ORCID
classification hep-th
keywords fouramplitudeamplitudescorrelatorlargeloopordersupergravity
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the four point function of the superconformal primary of the stress-tensor multiplet in four dimensional $\mathcal{N}=4$ Super Yang Mills, at large 't Hooft coupling and in a large $N$ expansion. This observable is holographically dual to four graviton amplitudes in type IIB supergravity on $AdS_5 \times S^5$. We construct the most trascendental piece of the correlator at order $N^{-6}$ and compare it with the flat space limit of the corresponding two loops amplitude. This comparison allows us to conjecture structures of the correlator/amplitude which should be present at any loop order.

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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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