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On the generalized Komar charge of Kaluza-Klein theories and higher-form symmetries

Year: 2025
Type: article
Abstract: The generalized Komar (d-2) ( d − 2 ) -form charge can be modified by the addition of any other on-shell closed (conserved) (d-2) ( d − 2 ) -form charge. We show that, with Kaluza–Klein boundary conditions, one has to add a charge related to the higher-form symmetry identified in Ref. [C. Gomez-Fayren, et al., SciPost Phys. Core 8, 010 (2025)] to the naive Komar charge of pure 5-dimensional gravity to obtain a conserved charge whose integral at spatial infinity gives the mass. The new term also contains the contribution of the Kaluza–Klein monopole charge leading to electric-magnetic duality invariance.
Language: English
Open Access status: diamond
OpenAlex ID: W4415879490
FWCI: 0.477
Cites: 24
Cited by: 1
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