Heterotic Model Building: 16 Special Manifolds

TL;DR

This paper classifies and analyzes heterotic string models on 16 special Calabi-Yau manifolds with non-trivial fundamental groups, identifying thousands of models with realistic GUT structures for string phenomenology.

Contribution

It provides a comprehensive classification of line bundle models on these 16 manifolds, a unique subset with potential for realistic heterotic string model building.

Findings

Approximately 29,000 models found, mostly SO(10) GUTs.

Models lead to consistent supersymmetric vacua with three chiral families.

Data available for further detailed heterotic model exploration.

Abstract

We study heterotic model building on 16 specific Calabi-Yau manifolds constructed as hypersurfaces in toric four-folds. These 16 manifolds are the only ones among the more than half a billion manifolds in the Kreuzer-Skarke list with a non-trivial first fundamental group. We classify the line bundle models on these manifolds, both for SU(5) and SO(10) GUTs, which lead to consistent supersymmetric string vacua and have three chiral families. A total of about 29000 models is found, most of them corresponding to SO(10) GUTs. These models constitute a starting point for detailed heterotic model building on Calabi-Yau manifolds in the Kreuzer-Skarke list. The data for these models can be downloaded here: http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/toricdata/index.html