Non-perturbative vacua for M-theory on G2 manifolds

TL;DR

This paper investigates how to stabilize all moduli in M-theory compactified on G2 manifolds using fluxes and instantons, finding both supersymmetric and non-supersymmetric vacua with various cosmological constants.

Contribution

It demonstrates the existence of stable vacua with negative, zero, and broken supersymmetry in M-theory on G2 manifolds, expanding understanding of moduli stabilization.

Findings

Existence of minima with negative cosmological constant stabilizing all moduli.

Identification of supersymmetric vacua with zero cosmological constant after tuning.

Discovery of vacua with broken supersymmetry.

Abstract

We study moduli stabilization in the context of M-theory on compact manifolds with G2 holonomy, using superpotentials from flux and membrane instantons, and recent results for the Khaeler potential of such models. The existence of minima with negative cosmological constant, stabilizing all moduli, is established. While most of these minima preserve supersymmetry, we also find examples with broken supersymmetry. Supersymmetric vacua with vanishing cosmological constant can also be obtained after a suitable tuning of parameters.