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Heterotic bundles on Calabi-Yau manifolds with small Picard number

He, Y., Kreuzer, M., Lee, S-J. and Lukas, A. (2011). Heterotic bundles on Calabi-Yau manifolds with small Picard number. Journal of High Energy Physics, 2011(12), p. 39. doi: 10.1007/JHEP12(2011)039

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 Kähler 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.

Publication Type: Article
Publisher Keywords: Superstrings and Heterotic Strings, Superstring Vacua
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/12878
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