Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications
We show that, in presence of isometries and non-trivial topology, the Einstein–Hilbert action is invariant under certain transformations of the metric which are not diffeomorphisms. These transformations are similar to the higher-form symmetries of field theories with $p$-form fields. In the context...
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| Format: | Article |
| Language: | English |
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2025-01-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.8.1.010 |
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| author | Carmen Gómez-Fayrén, Tomás Ortín, Matteo Zatti |
| author_facet | Carmen Gómez-Fayrén, Tomás Ortín, Matteo Zatti |
| author_sort | Carmen Gómez-Fayrén, Tomás Ortín, Matteo Zatti |
| collection | DOAJ |
| description | We show that, in presence of isometries and non-trivial topology, the Einstein–Hilbert action is invariant under certain transformations of the metric which are not diffeomorphisms. These transformations are similar to the higher-form symmetries of field theories with $p$-form fields. In the context of toroidal Kaluza–Klein compactifications, we show that these symmetries give rise to some of the "hidden symmetries" (dualities) of the dimensionally-reduced theories. |
| format | Article |
| id | doaj-art-ac6c2cc1149b470fb6c291bc46ad42e5 |
| institution | Kabale University |
| issn | 2666-9366 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj-art-ac6c2cc1149b470fb6c291bc46ad42e52025-01-29T16:54:27ZengSciPostSciPost Physics Core2666-93662025-01-018101010.21468/SciPostPhysCore.8.1.010Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactificationsCarmen Gómez-Fayrén, Tomás Ortín, Matteo ZattiWe show that, in presence of isometries and non-trivial topology, the Einstein–Hilbert action is invariant under certain transformations of the metric which are not diffeomorphisms. These transformations are similar to the higher-form symmetries of field theories with $p$-form fields. In the context of toroidal Kaluza–Klein compactifications, we show that these symmetries give rise to some of the "hidden symmetries" (dualities) of the dimensionally-reduced theories.https://scipost.org/SciPostPhysCore.8.1.010 |
| spellingShingle | Carmen Gómez-Fayrén, Tomás Ortín, Matteo Zatti Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications SciPost Physics Core |
| title | Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications |
| title_full | Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications |
| title_fullStr | Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications |
| title_full_unstemmed | Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications |
| title_short | Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications |
| title_sort | gravitational higher form symmetries and the origin of hidden symmetries in kaluza klein compactifications |
| url | https://scipost.org/SciPostPhysCore.8.1.010 |
| work_keys_str_mv | AT carmengomezfayrentomasortinmatteozatti gravitationalhigherformsymmetriesandtheoriginofhiddensymmetriesinkaluzakleincompactifications |