Supersymmetry Breaking, M-Theory and Fluxes

TL;DR

This paper explores warped compactifications of M-theory on eight-manifolds, incorporating quantum corrections, resulting in non-supersymmetric vacua with zero cosmological constant in three dimensions.

Contribution

It provides explicit solutions to the equations of motion including quantum corrections, demonstrating the existence of non-supersymmetric vacua with vanishing cosmological constant.

Findings

Vacua are generally non-supersymmetric

Solutions include all leading quantum gravity corrections

Vacua have zero three-dimensional cosmological constant

Abstract

We consider warped compactifications of ${\cal M}$-theory to three-dimensional Minkowski space on compact eight-manifolds. Taking all the leading quantum gravity corrections of eleven-dimensional supergravity into account we obtain the solution to the equations of motion and Bianchi identities. Generically these vacua are not supersymmetric and yet have a vanishing three-dimensional cosmological constant.