Twisted M2 brane holography and sphere correlation functions

TL;DR

This paper defines and computes a perturbative component of sphere correlation functions in M2 brane SCFTs, revealing a hidden triality symmetry and proposing a holographic dual involving twisted, deformed M-theory.

Contribution

It introduces a new algebraic method to compute protected sphere correlators and uncovers a novel triality symmetry supporting holographic duality in M2 brane theories.

Findings

Identification of a perturbative part of sphere correlators

Discovery of a hidden triality symmetry

Support for holographic description via twisted M-theory

Abstract

We define and compute algebraically a "perturbative part" of protected sphere correlation functions in the M2 brane SCFTs. These correlation functions are expected to have a holographic description in terms of twisted, $\Omega$-deformed M-theory. We uncover a hidden perturbative triality symmetry which supports this conjecture. We also discuss some variants of the setup, involving M2 branes at $A_k$ singularities and D3 branes with a transverse compact direction.