Combinatorics in N = 1 Heterotic Vacua

Details Combinatorics in N = 1 Heterotic Vacua Combinatorics in N = 1 Heterotic Vacua

2011-05-17

arxiv.org/abs/1105.3462v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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