An Algorithmic Approach to Heterotic String Phenomenology

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.

12 pages, 2 figures, invited review for Modern Physics Letters A,

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• The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning
• Calabi-Yau Geometries: Algorithms, Databases, and Physics
• Heterotic String Models on Smooth Calabi-Yau Threefolds
• Moduli restriction and Chiral Matter in Heterotic String Compactifications
• Higgs Multiplets in Heterotic GUT Models
• Constraints on heterotic M-theory from s-cobordism