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

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arxiv 2405.16706 v1 pith:SRBE34PI submitted 2024-05-26 hep-th gr-qc

classification hep-thgr-qc
keywords symmetriescompactificationshiddenhigher-formtheoriestransformationsactioncertain
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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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  1. Tensor global symmetries and the Stueckelberg mechanism for tensor fields

    hep-th 2024-11 reject novelty 6.0 of 10

    The authors construct Stueckelberg completions for massive mixed-symmetry tensor fields and derive mixed-symmetry currents and a 't Hooft anomaly for linearized gravity, but a sign error invalidates the (2,1) current ...

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