Heterotic Bundles on Calabi-Yau Manifolds with Small Picard Number

Abstract

We undertake a systematic scan of vector bundles over spaces from the largest database of known Calabi-Yau three-folds, in the context of heterotic string compactification. Specifically, we construct positive rank five monad bundles over Calabi-Yau hypersurfaces in toric varieties, with the number of Kahler moduli equal to one, two, and three and extract physically interesting models. We select models which can lead to three families of matter after dividing by a freely-acting discrete symmetry and including Wilson lines. About 2000 such models on two manifolds are found.

26 pages, 1 figure

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• Hodge Numbers for CICYs with Symmetries of Order Divisible by 4
• Heterotic Model Building: 16 Special Manifolds
• Extremal Bundles on Calabi-Yau Threefolds
• Heterotic String Models on Smooth Calabi-Yau Threefolds
• Moduli restriction and Chiral Matter in Heterotic String Compactifications
• Max Kreuzer's Contributions to the Study of Calabi-Yau Manifolds
• Higgs Multiplets in Heterotic GUT Models
• I've Got the World on a Brane