Monad Bundles in Heterotic String Compactifications

Details Monad Bundles in Heterotic String Compactifications Monad Bundles in Heterotic String Compactifications

2008-05-19

arxiv.org/abs/0805.2875v1

JHEP 0807:104,2008

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 4 figures

Scientific paper

10.1088/1126-6708/2008/07/104

In this paper, we study positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E8 x 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.

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