Heterotic models from vector bundles on toric Calabi-Yau manifolds
We systematically approach the construction of heterotic E 8 × E 8Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus on a simple class of 101 such three-folds with smooth ambient spaces, on which we perform an exhaus...
| Үндсэн зохиолчид: | , , |
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| Формат: | Journal article |
| Хэл сонгох: | English |
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2010
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| _version_ | 1826285400677679104 |
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| author | He, Y Lee, S Lukas, A |
| author_facet | He, Y Lee, S Lukas, A |
| author_sort | He, Y |
| collection | OXFORD |
| description | We systematically approach the construction of heterotic E 8 × E 8Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus on a simple class of 101 such three-folds with smooth ambient spaces, on which we perform an exhaustive scan and find all positive monad bundles with SU(N), N = 3, 4, 5 structure groups, subject to the heterotic anomaly cancellation constraint. We find that anomaly-free positive monads exist on only 11 of these toric three-folds with a total number of bundles of about 2000. Only 21 of these models, all of them on three-folds realizable as hypersurfaces in products of projective spaces, allow for three families of quarks and leptons. We also perform a preliminary scan over the much larger class of semi-positive monads which leads to about 44000 bundles with 280 of them satisfying the three-family constraint. These 280 models provide a starting point for heterotic model building based on toric three-folds. © SISSA 2010. |
| first_indexed | 2024-03-07T01:28:16Z |
| format | Journal article |
| id | oxford-uuid:92b53e94-2d22-4ffd-a48e-e8d79c73eaf9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:28:16Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:92b53e94-2d22-4ffd-a48e-e8d79c73eaf92022-03-26T23:27:26ZHeterotic models from vector bundles on toric Calabi-Yau manifoldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:92b53e94-2d22-4ffd-a48e-e8d79c73eaf9EnglishSymplectic Elements at Oxford2010He, YLee, SLukas, AWe systematically approach the construction of heterotic E 8 × E 8Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus on a simple class of 101 such three-folds with smooth ambient spaces, on which we perform an exhaustive scan and find all positive monad bundles with SU(N), N = 3, 4, 5 structure groups, subject to the heterotic anomaly cancellation constraint. We find that anomaly-free positive monads exist on only 11 of these toric three-folds with a total number of bundles of about 2000. Only 21 of these models, all of them on three-folds realizable as hypersurfaces in products of projective spaces, allow for three families of quarks and leptons. We also perform a preliminary scan over the much larger class of semi-positive monads which leads to about 44000 bundles with 280 of them satisfying the three-family constraint. These 280 models provide a starting point for heterotic model building based on toric three-folds. © SISSA 2010. |
| spellingShingle | He, Y Lee, S Lukas, A Heterotic models from vector bundles on toric Calabi-Yau manifolds |
| title | Heterotic models from vector bundles on toric Calabi-Yau manifolds |
| title_full | Heterotic models from vector bundles on toric Calabi-Yau manifolds |
| title_fullStr | Heterotic models from vector bundles on toric Calabi-Yau manifolds |
| title_full_unstemmed | Heterotic models from vector bundles on toric Calabi-Yau manifolds |
| title_short | Heterotic models from vector bundles on toric Calabi-Yau manifolds |
| title_sort | heterotic models from vector bundles on toric calabi yau manifolds |
| work_keys_str_mv | AT hey heteroticmodelsfromvectorbundlesontoriccalabiyaumanifolds AT lees heteroticmodelsfromvectorbundlesontoriccalabiyaumanifolds AT lukasa heteroticmodelsfromvectorbundlesontoriccalabiyaumanifolds |