Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912218091618304 |
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| author | Gómez-Fayrén, Carmen Ortín, Tomás Zatti, Matteo |
| author_facet | Gómez-Fayrén, Carmen Ortín, Tomás Zatti, Matteo |
| contents | 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 | Preprint |
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arxiv_https___arxiv_org_abs_2405_16706 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications Gómez-Fayrén, Carmen Ortín, Tomás Zatti, Matteo High Energy Physics - Theory General Relativity and Quantum Cosmology 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. |
| title | Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.16706 |