Superconformal Invariants or How to Relate Four-point AdS Amplitudes

Abstract

Using the form of N=2 superconformal invariants we derive the explicit relation between the bottom and top components of the correlator of four stress-tensor multiplets in N=4 Super Yang-Mills. The result is given in terms of an eighth order differential operator acting on the function of two variables which characterises these correlators. It allows us to show a non-trivial consistency relation between the known results for the corresponding supergravity amplitudes on AdS5.

arXiv comment11 pages

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Cited by in corpus (16)

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• Recursion Relations for AdS/CFT Correlators
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
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• Four-point correlation function of stress-energy tensors in N=4 superconformal theories
• AdS Virasoro-Shapiro from dispersive sum rules
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• One-loop string corrections for AdS Kaluza-Klein amplitudes
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• Simplicity of AdS Supergravity at One Loop
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects