Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds
Abstract We analyze heterotic line bundle models on elliptically fibered Calabi-Yau three-folds over weak Fano bases. In order to facilitate Wilson line breaking to the standard model group, we focus on elliptically fibered three-folds with a second section and a freely-acting involution. Specifical...
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2018-04-01
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Online Access: | http://link.springer.com/article/10.1007/JHEP04(2018)087 |
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doaj-45324f0f79a24c009def6203b431a11a2020-11-25T01:11:31ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018415010.1007/JHEP04(2018)087Heterotic line bundle models on elliptically fibered Calabi-Yau three-foldsAndreas P. Braun0Callum R. Brodie1Andre Lukas2Rudolf Peierls Centre for Theoretical Physics, University of OxfordRudolf Peierls Centre for Theoretical Physics, University of OxfordRudolf Peierls Centre for Theoretical Physics, University of OxfordAbstract We analyze heterotic line bundle models on elliptically fibered Calabi-Yau three-folds over weak Fano bases. In order to facilitate Wilson line breaking to the standard model group, we focus on elliptically fibered three-folds with a second section and a freely-acting involution. Specifically, we consider toric weak Fano surfaces as base manifolds and identify six such manifolds with the required properties. The requisite mathematical tools for the construction of line bundle models on these spaces, including the calculation of line bundle cohomology, are developed. A computer scan leads to more than 400 line bundle models with the right number of families and an SU(5) GUT group which could descend to standard-like models after taking the ℤ2 quotient. A common and surprising feature of these models is the presence of a large number of vector-like states.http://link.springer.com/article/10.1007/JHEP04(2018)087Flux compactificationsSuperstring VacuaSuperstrings and Heterotic Strings |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Andreas P. Braun Callum R. Brodie Andre Lukas |
spellingShingle |
Andreas P. Braun Callum R. Brodie Andre Lukas Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds Journal of High Energy Physics Flux compactifications Superstring Vacua Superstrings and Heterotic Strings |
author_facet |
Andreas P. Braun Callum R. Brodie Andre Lukas |
author_sort |
Andreas P. Braun |
title |
Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds |
title_short |
Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds |
title_full |
Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds |
title_fullStr |
Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds |
title_full_unstemmed |
Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds |
title_sort |
heterotic line bundle models on elliptically fibered calabi-yau three-folds |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-04-01 |
description |
Abstract We analyze heterotic line bundle models on elliptically fibered Calabi-Yau three-folds over weak Fano bases. In order to facilitate Wilson line breaking to the standard model group, we focus on elliptically fibered three-folds with a second section and a freely-acting involution. Specifically, we consider toric weak Fano surfaces as base manifolds and identify six such manifolds with the required properties. The requisite mathematical tools for the construction of line bundle models on these spaces, including the calculation of line bundle cohomology, are developed. A computer scan leads to more than 400 line bundle models with the right number of families and an SU(5) GUT group which could descend to standard-like models after taking the ℤ2 quotient. A common and surprising feature of these models is the presence of a large number of vector-like states. |
topic |
Flux compactifications Superstring Vacua Superstrings and Heterotic Strings |
url |
http://link.springer.com/article/10.1007/JHEP04(2018)087 |
work_keys_str_mv |
AT andreaspbraun heteroticlinebundlemodelsonellipticallyfiberedcalabiyauthreefolds AT callumrbrodie heteroticlinebundlemodelsonellipticallyfiberedcalabiyauthreefolds AT andrelukas heteroticlinebundlemodelsonellipticallyfiberedcalabiyauthreefolds |
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