All Tree-Level Correlators for M-theory on $AdS_7 \times S^4$

TL;DR

This paper derives all four-point tree-level holographic correlators for eleven-dimensional supergravity on $AdS_7 imes S^4$, revealing a simplified structure governed by MRV amplitudes and superconformal constraints.

Contribution

It provides a complete constructive derivation of all such correlators, highlighting the role of MRV amplitudes and superconformal Ward identities in their structure.

Findings

Polar part of correlators captured by MRV amplitude

Contact part fixed by Ward identities and flat space limit

Complete set of four-point correlators derived for $AdS_7 imes S^4$

Abstract

We present a constructive derivation of all four-point tree-level holographic correlators for eleven dimensional supergravity on $AdS_7 \times S^4$. 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.