Mapping an Island in the Landscape

TL;DR

This paper conducts a comprehensive classification and statistical analysis of type IIA orientifold compactifications with intersecting D6-branes on a specific orbifold, revealing an enormous landscape of possible four-dimensional models, including many with Standard Model-like features.

Contribution

It provides the first complete classification and statistical overview of all such compactifications on T^6/Z'_6, including explicit formulas for non-chiral spectra and subsets with Standard Model, Pati-Salam, or GUT sectors.

Findings

Approximately 10^23 models in total.

Around 10^15 models contain the MSSM.

About 10^11 models feature a Pati-Salam sector.

Abstract

We provide a complete classification and statistical analysis of all type IIA orientifold compactifications with intersecting D6-branes on the orbifold T^6/Z'_6. The total number of four dimensional N=1 supersymmetric models is found to be O(10^23). After a statistical analysis of the gauge sector properties of all possible solutions, we study three subsets of configurations which contain the chiral matter sector of the standard model, a Pati-Salam or SU(5) GUT model, respectively. We find O(10^15) compactifications with an MSSM and O(10^11) models with a Pati-Salam sector. Along the way we derive an explicit algebraic formulation for the computation of the non-chiral matter spectrum for all Z_N orbifolds.