One in a Billion: MSSM-like D-Brane Statistics

TL;DR

This paper statistically analyzes intersecting D-brane models in string theory, estimating the rarity of MSSM-like configurations with three generations to be about one in a billion.

Contribution

It provides a comprehensive statistical survey of supersymmetric D-brane models, including the effects of K-theory constraints and correlations among physical features.

Findings

Frequency of MSSM-like gauge groups with three generations is about one in a billion.

Identifies statistical suppression factors for Standard Model features.

Analyzes correlations among physical quantities in D-brane models.

Abstract

Continuing our recent work hep-th/0411173, we study the statistics of four-dimensional, supersymmetric intersecting D-brane models in a toroidal orientifold background. We have performed a vast computer survey of solutions to the stringy consistency conditions and present their statistical implications with special emphasis on the frequency of Standard Model features. Among the topics we discuss are the implications of the K-theory constraints, statistical correlations among physical quantities and an investigation of the various statistical suppression factors arising once certain Standard Model features are required. We estimate the frequency of an MSSM like gauge group with three generations to be one in a billion.