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

TL;DR

This paper conducts a comprehensive statistical analysis of supersymmetric intersecting D-brane models on T^6/Z_6, revealing the distribution of gauge groups and matter content, and comparing with other orientifold setups.

Contribution

It provides an analytic proof of the finiteness of solutions and introduces a statistical method to estimate the total number of models with high precision.

Findings

Total number of models estimated as 3x10^28

Distribution patterns of gauge groups and matter content identified

Models with Standard Model gauge group are statistically suppressed

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.