An Algorithmic Approach to Heterotic String Phenomenology

TL;DR

This paper reviews an algorithmic framework for constructing and classifying heterotic string vacua, aiming to identify models that resemble the MSSM within the vast string landscape.

Contribution

It introduces a systematic, algorithmic method for building and analyzing heterotic vacua using monad constructions over Calabi-Yau threefolds, advancing string phenomenology research.

Findings

Development of a classification scheme for vector bundles

Identification of potential MSSM-like models

Framework for isolating special heterotic vacua

Abstract

We briefly review the recent programme to construct, systematically and algorithmically, large classes of heterotic vacua, as well as the search for the MSSM therein. Specifically, we outline the monad construction of vector bundles over complete intersection Calabi-Yau threefolds, their classification, stability, equivariant cohomology and subsequent relevance to string phenomenology. It is hoped that this top-down algorithmic approach will isolate special corners in the heterotic landscape.