Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds
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 co...
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| Format: | Journal article |
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Springer Berlin Heidelberg
2018
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| _version_ | 1826266594508013568 |
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| author | Braun, A Brodie, C Lukas, A |
| author_facet | Braun, A Brodie, C Lukas, A |
| author_sort | Braun, A |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T20:41:19Z |
| format | Journal article |
| id | oxford-uuid:34638abf-198e-4e9c-a120-42cb0efc7842 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:41:19Z |
| publishDate | 2018 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | oxford-uuid:34638abf-198e-4e9c-a120-42cb0efc78422022-03-26T13:25:40ZHeterotic line bundle models on elliptically fibered Calabi-Yau three-foldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:34638abf-198e-4e9c-a120-42cb0efc7842Symplectic Elements at OxfordSpringer Berlin Heidelberg2018Braun, ABrodie, CLukas, AWe 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. |
| spellingShingle | Braun, A Brodie, C Lukas, A Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds |
| title | 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_short | Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds |
| title_sort | heterotic line bundle models on elliptically fibered calabi yau three folds |
| work_keys_str_mv | AT brauna heteroticlinebundlemodelsonellipticallyfiberedcalabiyauthreefolds AT brodiec heteroticlinebundlemodelsonellipticallyfiberedcalabiyauthreefolds AT lukasa heteroticlinebundlemodelsonellipticallyfiberedcalabiyauthreefolds |