Heterotic Bundles on Calabi-Yau Manifolds with Small Picard Number

Details Heterotic Bundles on Calabi-Yau Manifolds with Small Picard Number Heterotic Bundles on Calabi-Yau Manifolds with Small Picard Number

2011-08-04

arxiv.org/abs/1108.1031v1

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 1 figure

Scientific paper

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.

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