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Statistics of M theory Vacua

Bobby S. Acharya·Frederik Denef·Roberto Valandro
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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.

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Bobby S. Acharya, Frederik Denef, Roberto Valandro. 2005-04-06. Statistics of M theory Vacua. https://doi.org/10.1088/1126-6708%2F2005%2F06%2F056

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