Statistics of intersecting D-brane models on T^6/Z_6

Abstract

We perform a statistical analysis of supersymmetric intersecting D-brane models on the type II orientifold T^6/Z_6. After providing an analytic proof of the finiteness of the number of possible solutions in this setup we study the frequency distributions of properties of the gauge group and the chiral matter content. In particular we search for models with a standard model gauge group and discuss their statistical suppression. The results are compared with the recent studies on T^6/Z_2xZ_2. The analysis is conducted using a statistical method, based on the choice of random subsets of the full ensemble of solutions. This method allows to calculate the total number of models with high precision to 3x10^28.

29 pages, 9 figures; v2: typos corrected; v3: comments added, section 6 expanded

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Cited by in corpus (4)

• The Heterotic Road to the MSSM with R parity
• Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology
• Building a Nest at Tree Level: Classical Metastability and Non-Trivial Vacuum Structure in Supersymmetric Field Theories
• Statistics in the Landscape of Intersecting Brane Models