On the generalized Komar charge of Kaluza-Klein theories and higher-form symmetries
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911248398942208 |
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| author | Barbagallo, G. Cerdeira, J. L. V. Gómez-Fayrén, C. Meessen, P. Ortín, T. |
| author_facet | Barbagallo, G. Cerdeira, J. L. V. Gómez-Fayrén, C. Meessen, P. Ortín, T. |
| contents | The generalized Komar $(d-2)$-form charge can be modified by the addition of any other on-shell closed (conserved) $(d-2)$-form charge. We show that, with Kaluza--Klein boundary conditions, one has to add a charge related to the higher-form symmetry identified in Ref.~\cite{Gomez-Fayren:2024cpl} to the naive Komar charge of pure 5-dimensional gravity to obtain a conserved charge charge whose integral at spatial infinity gives the mass. The new term also contains the contribution of the Kaluza--Klein monopole charge leading to electric-magnetic duality invariance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15615 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the generalized Komar charge of Kaluza-Klein theories and higher-form symmetries Barbagallo, G. Cerdeira, J. L. V. Gómez-Fayrén, C. Meessen, P. Ortín, T. High Energy Physics - Theory General Relativity and Quantum Cosmology The generalized Komar $(d-2)$-form charge can be modified by the addition of any other on-shell closed (conserved) $(d-2)$-form charge. We show that, with Kaluza--Klein boundary conditions, one has to add a charge related to the higher-form symmetry identified in Ref.~\cite{Gomez-Fayren:2024cpl} to the naive Komar charge of pure 5-dimensional gravity to obtain a conserved charge charge whose integral at spatial infinity gives the mass. The new term also contains the contribution of the Kaluza--Klein monopole charge leading to electric-magnetic duality invariance. |
| title | On the generalized Komar charge of Kaluza-Klein theories and higher-form symmetries |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.15615 |