Heterotic models from vector bundles on toric Calabi-Yau manifolds

He, Y., Lee, S-J. & Lukas, A. (2010). Heterotic models from vector bundles on toric Calabi-Yau manifolds. Journal of High Energy Physics, 2010(5), p. 71. doi: 10.1007/JHEP05(2010)071

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Abstract

We systematically approach the construction of heterotic E 8 × E 8 Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus on a simple class of 101 such three-folds with smooth ambient spaces, on which we perform an exhaustive scan and find all positive monad bundles with SU(N), N = 3; 4; 5 structure groups, subject to the heterotic anomaly cancellation constraint. We find that anomaly-free positive monads exist on only 11 of these toric three-folds with a total number of bundles of about 2000. Only 21 of these models, all of them on three-folds realizable as hypersurfaces in products of projective spaces, allow for three families of quarks and leptons. We also perform a preliminary scan over the much larger class of semi-positive monads which leads to about 44000 bundles with 280 of them satisfying the three-family constraint. These 280 models provide a starting point for heterotic model building based on toric three-folds.

Item Type: Article
Uncontrolled Keywords: Superstrings and Heterotic Strings, Superstring Vacua
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/12881

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