Monad bundles in heterotic string compactifications

In this paper, we study positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E 8 × E 8 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 expl...

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Main Authors: Anderson, L, He, Y, Lukas, A
Format: Journal article
Language:English
Published: 2008
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author Anderson, L
He, Y
Lukas, A
author_facet Anderson, L
He, Y
Lukas, A
author_sort Anderson, L
collection OXFORD
description In this paper, we study positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E 8 × E 8 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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spelling oxford-uuid:4f57c87c-5595-49f0-88fe-cf845c9939ed2022-03-26T16:06:29ZMonad bundles in heterotic string compactificationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4f57c87c-5595-49f0-88fe-cf845c9939edEnglishSymplectic Elements at Oxford2008Anderson, LHe, YLukas, AIn this paper, we study positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E 8 × E 8 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.
spellingShingle Anderson, L
He, Y
Lukas, A
Monad bundles in heterotic string compactifications
title Monad bundles in heterotic string compactifications
title_full Monad bundles in heterotic string compactifications
title_fullStr Monad bundles in heterotic string compactifications
title_full_unstemmed Monad bundles in heterotic string compactifications
title_short Monad bundles in heterotic string compactifications
title_sort monad bundles in heterotic string compactifications
work_keys_str_mv AT andersonl monadbundlesinheteroticstringcompactifications
AT hey monadbundlesinheteroticstringcompactifications
AT lukasa monadbundlesinheteroticstringcompactifications