All Tree-Level Correlators for M Theory on AdS_{7}×S

ABSTRACT

We present a constructive derivation of all four-point tree-level holographic correlators for eleven dimensional supergravity on AdS_{7}×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 amplitude, while the contact part is fully fixed by superconformal Ward identities and the flat space limit.