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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Format: | Journal article |
Language: | English |
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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. |
first_indexed | 2024-03-06T22:03:20Z |
format | Journal article |
id | oxford-uuid:4f57c87c-5595-49f0-88fe-cf845c9939ed |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T22:03:20Z |
publishDate | 2008 |
record_format | dspace |
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 |