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.

arXiv commentv1: 6 pages, no figure; v2: minor typos corrected; v3: minor typos corrected, to be published on PRL

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