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arXiv · 2506.15615

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

G. Barbagallo·J. L. V. Cerdeira·C. Gómez-Fayrén·P. Meessen·T. Ortín
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Abstract

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.~\cite{Gomez-Fayren:2024cpl} to the naive Komar charge of pure 5-dimensional gravity to obtain a conserved charge 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.

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G. Barbagallo, J. L. V. Cerdeira, C. Gómez-Fayrén, P. Meessen, T. Ortín. 2025-06-18. On the generalized Komar charge of Kaluza-Klein theories and higher-form symmetries. https://doi.org/10.21468/scipostphyscore.8.4.077

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