Near-Extremal Correlators and Generalized Consistent Truncation for AdS_{4|7}\times S^{7|4}

TL;DR

This paper conjectures the form and large N dependence of extremal and near-extremal correlators in certain superconformal theories using their M-theory gravity duals, highlighting the vanishing of specific bulk couplings.

Contribution

It proposes a new conjecture about the structure of correlators and the vanishing of bulk couplings in supergravity duals of superconformal theories, extending consistent truncation concepts.

Findings

Conjectured the form and N-dependence of correlators in dual theories.

Identified vanishing of bulk couplings for extremal and near-extremal configurations.

Linked these properties to generalized consistent truncation.

Abstract

We present conjectures for the space-time form and leading large N dependence of extremal and near-extremal correlation functions in the \N=8 superconformal Yang-Mills theory in d=3 as well as in the (0,2) superconformal theory in d=6, using their gravity duals with M-theory on $AdS_4\times \S^7$ and $AdS_7 \times \S^4$ respectively. As a key part of the conjectures, we argue that the bulk couplings associated with extremal and near-extremal field configurations in the corresponding $AdS_4$ and $AdS_7$ gauged supergravities vanish. The vanishing of these couplings constitutes a generalization of the property of consistent truncation of the Kaluza-Klein modes.