Three dimensional Conformal Field Theories from Sasakian seven-manifolds

TL;DR

This paper constructs candidate 3D conformal field theories dual to specific 11D supergravity compactifications, analyzing spectra, baryonic symmetries, and the occurrence of rational-energy long multiplets.

Contribution

It introduces new candidate CFTs for non-maximally supersymmetric AdS4 compactifications and compares their spectra with supergravity predictions.

Findings

Spectra comparison confirms consistency with supergravity

Identification of baryonic symmetries in the dual theories

Observation of long multiplets with rational energies

Abstract

We present the construction of the candidate conformal field theories dual to $AdS_4$ non-maximally supersymmetric compactifications of 11D supergravity. We compare the spectra of the two theories and discuss the realization of the baryonic symmetries. Finally we comment on the presence in the spectrum of long multiplets with rational energies, trying to explain their existence.