BSM

Abstract

We undertake a systematic scan of vector bundles over the database of torically generated Calabi-Yau three-folds in the context of heterotic string compactifications. Specifically, we construct positive 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 possibly lead to three families of matter after quotienting by a freely-acting discrete symmetries and including Wilson lines. About 2000 such models on two manifolds are found.