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arXiv · 1408.6156

Distribution of the Number of Generations in Flux Compactifications

Andreas P. Braun·Taizan Watari
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Abstract

Flux compactification of string theory generates an ensemble with a large number of vacua called the landscape. By using the statistics of various properties of low-energy effective theories in the string landscape, one can therefore hope to provide a scientific foundation to the notion of naturalness. This article discusses how to answer such questions of practical interest by using flux compactification of F-theory. It is found that the distribution is approximately in a factorized form given by the distribution of the choice of 7-brane gauge group, that of the number of generations $N_{\rm gen}$ and that of effective coupling constants. The distribution of $N_{\rm gen}$ is approximately Gaussian for the range $|N_{\rm gen}| \lesssim 10$. The statistical cost of higher-rank gauge groups is also discussed.

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Andreas P. Braun, Taizan Watari. 2014-12-10. Distribution of the Number of Generations in Flux Compactifications. https://doi.org/10.1103/physrevd.90.121901

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