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On the generalized Komar charge of Kaluza-Klein theories and higher-form symmetries
by G. Barbagallo, J. L. V. Cerdeira, C. Gómez-Fayrén, P. Meessen, T. Ortín
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Tomás Ortín |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202509_00051v1 (pdf) |
| Date accepted: | Sept. 30, 2025 |
| Date submitted: | Sept. 29, 2025, 10:13 a.m. |
| Submitted by: | Tomás Ortín |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Author comments upon resubmission
Dear Editor,
We have made a couple of changes following the refereeś comments.
Yours,
Tomas Ortin (as corresponding author)
We have made a couple of changes following the refereeś comments.
Yours,
Tomas Ortin (as corresponding author)
List of changes
In order to answer the referee's point we have added the following paragraph below (3.15):
The first term in the right-hand side of the above equation is the standard
Komar charge whose integral gives the gravitational conserved charge
associated to the Killing vector l. In this case, l is given by the linear
combination in Eq. (2.34) (just the first two terms) when m
generates time translations and n rotations around one axis. Since the Komar
charge is linear, its integral will give a linear combination of the mass and
and angular momentum with the angular velocity ΩH as
coefficient.
We have also corrected the typo in (2.26a)
The first term in the right-hand side of the above equation is the standard
Komar charge whose integral gives the gravitational conserved charge
associated to the Killing vector l. In this case, l is given by the linear
combination in Eq. (2.34) (just the first two terms) when m
generates time translations and n rotations around one axis. Since the Komar
charge is linear, its integral will give a linear combination of the mass and
and angular momentum with the angular velocity ΩH as
coefficient.
We have also corrected the typo in (2.26a)
Published as SciPost Phys. Core 8, 077 (2025)