Combinatorics in N = 1 Heterotic Vacua

Abstract

We briefly review an algorithmic strategy to explore the landscape of heterotic E8 \times E8 vacua, in the context of compactifying smooth Calabi-Yau three-folds with vector bundles. The Calabi-Yau three-folds are algebraically realised as hypersurfaces in toric varieties and a large class of vector bundles are constructed thereon as monads. In the spirit of searching for Standard-like heterotic vacua, emphasis is placed on the integer combinatorics of the model-building programme.

14 pages. An introductory review prepared for the special issue "Computational Algebraic Geometry in String and Gauge Theory" of Advances in High Energy Physics

References in corpus (5)

• Heterotic Compactification, An Algorithmic Approach
• Cohomology of Line Bundles: A Computational Algorithm
• Lectures on complex geometry, Calabi-Yau manifolds and toric geometry
• Integral Cohomology and Mirror Symmetry for Calabi-Yau 3-folds
• Discrete Wilson Lines in F-Theory