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Monad Bundles in Heterotic String Compactifications

Anderson, L. B., He, Y. and Lukas, A. (2008). Monad Bundles in Heterotic String Compactifications. Journal of High Energy Physics, 2008(JHEP07), p. 104. doi: 10.1088/1126-6708/2008/07/104

Abstract

In this paper, we study positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E8 × E8 heterotic string compactifications. We show that the class of such bundles, subject to the heterotic anomaly condition, is finite and consists of about 7000 models. We explain how to compute the complete particle spectrum for these models. In particular, we prove the absence of vector-like family anti-family pairs in all cases. We also verify a set of highly non-trivial necessary conditions for the stability of the bundles. A full stability proof will appear in a companion paper. A scan over all models shows that even a few rudimentary physical constraints reduces the number of viable models drastically.

Publication Type: Article
Publisher Keywords: Superstrings and Heterotic Strings, Differential and Algebraic Geometry, Superstring Vacua
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/879
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