Towards All Loop Supergravity Amplitudes on $Ad{S}_5\times S^5$

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 $Ad{S}_5\times S^5$. 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.

7 pages. V2: reformatted for Phys. Rev. D, accepted version

References in corpus (3)

• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• Unitarity Methods in AdS/CFT
• All loop structures in Supergravity Amplitudes on $Ad{S}_5\times S^5$ from CFT

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• BCJ relations in ${AdS}_5\times S^3$ and the double-trace spectrum of super gluons
• Poincaré series for modular graph forms at depth two. I. Seeds and Laplace systems
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• AdS super gluon scattering up to two loops: A position space approach
• To the cusp and back: Resurgent analysis for modular graph functions
• One-loop string amplitudes in AdS${}_5\times$S${}^5$: Mellin space and sphere splitting
• Scattering bound states in AdS
• Rebooting quarter-BPS operators in $\mathcal{N}=4$ Super Yang-Mills