Generalized symmetries in F-theory and the topology of elliptic fibrations
We realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds. Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the explicit construction of relative 2-cycles in terms of Lefschetz t...
| প্রধান লেখক: | , , , |
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| বিন্যাস: | Journal article |
| ভাষা: | English |
| প্রকাশিত: |
SciPost
2022
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| _version_ | 1826309688582471680 |
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| author | Hubner, M Morrison, DR Schäfer-Nameki, S Wang, Y-N |
| author_facet | Hubner, M Morrison, DR Schäfer-Nameki, S Wang, Y-N |
| author_sort | Hubner, M |
| collection | OXFORD |
| description | We realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds. Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the explicit construction of relative 2-cycles in terms of Lefschetz thimbles. We apply the analysis to a variety of elliptic fibrations, including geometries where the discriminant of the elliptic fibration intersects the boundary. We provide a concrete realization of the 1-form symmetry group by constructing the associated charged line operator from the elliptic fibration. As an application we compute the symmetry topological field theories in the case of elliptic three-folds, which correspond to mixed anomalies in 5d and 6d theories. |
| first_indexed | 2024-03-07T07:39:29Z |
| format | Journal article |
| id | oxford-uuid:8228e6af-d715-4f3c-a2fb-bfc61998a58f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:39:29Z |
| publishDate | 2022 |
| publisher | SciPost |
| record_format | dspace |
| spelling | oxford-uuid:8228e6af-d715-4f3c-a2fb-bfc61998a58f2023-04-05T12:06:33ZGeneralized symmetries in F-theory and the topology of elliptic fibrationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8228e6af-d715-4f3c-a2fb-bfc61998a58fEnglishSymplectic ElementsSciPost2022Hubner, MMorrison, DRSchäfer-Nameki, SWang, Y-NWe realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds. Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the explicit construction of relative 2-cycles in terms of Lefschetz thimbles. We apply the analysis to a variety of elliptic fibrations, including geometries where the discriminant of the elliptic fibration intersects the boundary. We provide a concrete realization of the 1-form symmetry group by constructing the associated charged line operator from the elliptic fibration. As an application we compute the symmetry topological field theories in the case of elliptic three-folds, which correspond to mixed anomalies in 5d and 6d theories. |
| spellingShingle | Hubner, M Morrison, DR Schäfer-Nameki, S Wang, Y-N Generalized symmetries in F-theory and the topology of elliptic fibrations |
| title | Generalized symmetries in F-theory and the topology of elliptic fibrations |
| title_full | Generalized symmetries in F-theory and the topology of elliptic fibrations |
| title_fullStr | Generalized symmetries in F-theory and the topology of elliptic fibrations |
| title_full_unstemmed | Generalized symmetries in F-theory and the topology of elliptic fibrations |
| title_short | Generalized symmetries in F-theory and the topology of elliptic fibrations |
| title_sort | generalized symmetries in f theory and the topology of elliptic fibrations |
| work_keys_str_mv | AT hubnerm generalizedsymmetriesinftheoryandthetopologyofellipticfibrations AT morrisondr generalizedsymmetriesinftheoryandthetopologyofellipticfibrations AT schafernamekis generalizedsymmetriesinftheoryandthetopologyofellipticfibrations AT wangyn generalizedsymmetriesinftheoryandthetopologyofellipticfibrations |