Acharya, Bobby SamirDenef, FrederikValandro, Roberto2009-07-022005Acharya, Bobby S., Frederik Denef, and Roberto Valandro. 2005. Statistics of M theory vacua. Journal of High Energy Physics 6: 056.1126-67081029-8479http://nrs.harvard.edu/urn-3:HUL.InstRepos:3138318We study the vacuum statistics of ensembles of <i>M</i> theory compactifications on G₂ 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 G₂ 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.en-USvacuasuperstringM-Theory10.1088/1126-6708/2005/06/056