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 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.

Statistics of M theory vacua

VALANDRO, ROBERTO
2005

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 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2876705
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