Fluxes in M-theory on 7-manifolds: G_2-, SU(3)- and SU(2)-structures

TL;DR

This paper studies M-theory compactifications on 7-manifolds with fluxes, analyzing how different G-structures influence supersymmetry and the resulting 4D cosmological constant.

Contribution

It derives flux constraints and identifies flux components that determine the superpotential for G_2-, SU(3)-, and SU(2)-structured compactifications.

Findings

Supersymmetry imposes specific flux constraints.

Flux components fix the 4D superpotential.

Different G-structures lead to distinct flux configurations.

Abstract

We consider compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes, which leave at least four supercharges unbroken. Supersymmetric vacua admit G-structures and we discuss the cases of G_2-, SU(3)- as well as SU(2)-structures. We derive the constraints on the fluxes imposed by supersymmetry and determine the flux components that fix the resulting 4-dimensional cosmological constant (i.e. superpotential).