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

Autor: Gómez-Fayrén, Carmen, Ortín, Tomás, Zatti, Matteo
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: LaTeX 2e file, 20 pages, no figures
Databáze: arXiv