Statistics of M theory Vacua

TL;DR

This paper analyzes the statistical distribution of vacua in M theory compactifications, revealing suppression of large volumes, non-uniform cosmological constant distributions, and a predominance of high-scale supersymmetry breaking.

Contribution

It provides a detailed statistical analysis of M theory vacua, highlighting differences from Type IIB flux landscapes and characterizing the nature of supersymmetry breaking.

Findings

Large volumes are strongly suppressed in G_2 ensembles

Distribution of cosmological constants is non-uniform

Most vacua have high-scale supersymmetry breaking

Abstract

We study the vacuum statistics of ensembles of M theory compactifications on G_2 holonomy manifolds with fluxes, and of ensembles of Freund-Rubin vacua. We discuss similarities and differences between these and Type IIB flux landscapes. For the G_2 ensembles, we find that large volumes are strongly suppressed, and for both, unlike the IIB case, the distribution of cosmological constants is non-uniform. We also argue that these ensembles typically have exponentially more non-supersymmetric than supersymmetric vacua, and show that supersymmetry is virtually always broken at a high scale.