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arXiv · 2405.16706

Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications

Carmen Gómez-Fayrén·Tomás Ortín·Matteo Zatti
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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.

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Carmen Gómez-Fayrén, Tomás Ortín, Matteo Zatti. 2024-05-26. Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications. https://doi.org/10.21468/scipostphyscore.8.1.010

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