Statistics in the Landscape of Intersecting Brane Models

TL;DR

This paper explores statistical methods to analyze four-dimensional supersymmetric vacua in string theory, focusing on intersecting D-brane models and their potential for predictive correlations between low-energy observables.

Contribution

It introduces a statistical survey approach for intersecting D-brane models and examines possible correlations between gauge sector properties and Gepner models.

Findings

Identified potential correlations between gauge sector properties and Gepner models.

Demonstrated the use of statistical ensembles to analyze string vacua.

Discussed the feasibility of making predictions based on statistical distributions.

Abstract

An approach towards a statistical survey of four dimensional supersymmetric vacua in the string theory landscape is described and illustrated with three examples of ensembles of intersecting D-brane models. The question whether it is conceivable to make predictions based on statistical distributions is discussed. Especially interesting in this context are possible correlations between low energy observables. As an example we look at correlations between properties of the gauge sector of intersecting D-brane models and Gepner model constructions.