Statistics of M theory vacua
Feb, 2005
58 pages
Published in:
- JHEP 06 (2005) 056
e-Print:
- hep-th/0502060 [hep-th]
Report number:
- IC-2005-07,
- SISSA-10-2005-EP
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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.- M-theory
- compactification
- holonomy: G(2)
- supersymmetry: symmetry breaking
- quantization
- statistics: vacuum state
- coupling constant
- energy: density
- potential: Kaehler
- cosmological constant
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