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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

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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