Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications
Carmen Gómez-Fayrén, Tomás Ortín, Matteo Zatti
SciPost Phys. Core 8, 010 (2025) · published 29 January 2025
- doi: 10.21468/SciPostPhysCore.8.1.010
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Abstract
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.
Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- 1 Carmen Gomez-Fayren,
- 1 Tomás Ortín,
- 1 Matteo Zatti
Funders for the research work leading to this publication
- Agencia Estatal de Investigación
- Ministerio de Ciencia e Innovación (through Organization: Ministerio de Ciencia, Innovación y Universidades / Ministry of Science, Innovation and Universities)
- Ministerio de Ciencia, Innovación y Universidades / Ministry of Science, Innovation and Universities
- “la Caixa” Foundation