TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.4.077
TI  - On the generalized Komar charge of Kaluza-Klein theories and higher-form symmetries
PY  - 2025/11/04
UR  - https://www.scipost.org/SciPostPhysCore.8.4.077
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 4
SP  - 077
A1  - Barbagallo, Gabriele
AU  - Cerdeira, José Luis V.
AU  - Gómez-Fayrén, Carmen
AU  - Meessen, Patrick
AU  - Ortín, Tomás
AB  - The generalized Komar $(d-2)$-form charge can be modified by the addition of any other on-shell closed (conserved) $(d-2)$-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.
ER  -

@Article{10.21468/SciPostPhysCore.8.4.077,
	title={{On the generalized Komar charge of Kaluza-Klein theories and higher-form symmetries}},
	author={Gabriele Barbagallo and José Luis V. Cerdeira and Carmen Gómez-Fayrén and Patrick Meessen and Tomás Ortín},
	journal={SciPost Phys. Core},
	volume={8},
	pages={077},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.4.077},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.4.077},
}