A Comprehensive Scan for Heterotic SU(5) GUT models

TL;DR

This paper conducts an exhaustive computational scan of heterotic string compactifications on Calabi-Yau manifolds, identifying 35,000 SU(5) GUT models with realistic matter spectra and no exotic particles.

Contribution

It extends previous work by performing a comprehensive scan over a vastly larger class of vector bundles, significantly increasing the number of viable heterotic GUT models found.

Findings

Identified 35,000 SU(5) GUT models with realistic spectra

All models have the matter content of the supersymmetric standard model

No exotic particles are present in the resulting models

Abstract

Compactifications of heterotic theories on smooth Calabi-Yau manifolds remains one of the most promising approaches to string phenomenology. In two previous papers, http://arXiv.org/abs/arXiv:1106.4804 and http://arXiv.org/abs/arXiv:1202.1757, large classes of such vacua were constructed, using sums of line bundles over complete intersection Calabi-Yau manifolds in products of projective spaces that admit smooth quotients by finite groups. A total of 10^12 different vector bundles were investigated which led to 202 SU(5) Grand Unified Theory (GUT) models. With the addition of Wilson lines, these in turn led, by a conservative counting, to 2122 heterotic standard models. In the present paper, we extend the scope of this programme and perform an exhaustive scan over the same class of models. A total of 10^40 vector bundles are analysed leading to 35,000 SU(5) GUT models. All of these compactifications have the right field content to induce low-energy models with the matter spectrum of the supersymmetric standard model, with no exotics of any kind. The detailed analysis of the resulting vast number of heterotic standard models is a substantial and ongoing task in computational algebraic geometry.