All Tree-Level Correlators for M-theory on $Ad{S}_7\times S^4$

Abstract

We present a constructive derivation of all four-point tree-level holographic correlators for eleven dimensional supergravity on $Ad{S}_7\times S^4$. These correlators correspond to four-point functions of arbitrary one-half BPS operators in the six-dimensional $(2,0)$ theory at large central charge. The crucial observation is that the polar part of the correlators in Mellin space is fully captured by a drastically simpler Maximally R-symmetry Violating (MRV) amplitude, while the contact part is fully fixed by superconformal Ward identities and the flat space limit.

v1: 6 pages, no figure; v2: minor typos corrected; v3: minor typos corrected, to be published on PRL

References in corpus (5)

• Writing CFT correlation functions as AdS scattering amplitudes
• Effective Field Theories from Soft Limits
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Conformal Bootstrap in Mellin Space
• D-independent representation of Conformal Field Theories in D dimensions via transformation to auxiliary Dual Resonance Models. Scalar amplitudes

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• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories