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A note on the Noether-Wald and generalized Komar charges
by Tomás Ortín and Matteo Zatti
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | Matteo Zatti |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202506_00003v1 (pdf) |
| Date submitted: | June 2, 2025, 11:54 a.m. |
| Submitted by: | Matteo Zatti |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We propose a simple algorithm to compute the generalized Koma charge of any exactly gauge- and diffeomorphism-invariant theory.
Current status:
Has been resubmitted
Reports on this Submission
Report
The results in this short paper are probably correct. The derivation is unfortunately not entirely. There is no way that equation (5), which is correct, follows from (2) (3) and (4). (5) is an independent computation that involves integration by parts on the derivatives of the vector field $\xi$ and the Noether identities, yielding an explicit expression for the on-shell vanishing $N$. Subtracting (3) and (2) says that an expression for the canonical Noether charge is $i_\xi L+\Theta$. Subtracting this says that $d(N+\Theta+i_\xi L)=0$ which is (8).
Before considering the rest of the paper, I believe that a correct explanation of these first steps is important.
Before considering the rest of the paper, I believe that a correct explanation of these first steps is important.
Recommendation
Ask for minor revision
Author: Matteo Zatti on 2025-09-26 [id 5865]
(in reply to Report 1 on 2025-09-12)Dear referee,
Please find attached a detailed reply to the report, addressing the point you raised.
Kind regards,
Matteo Zatti
Attachment:
answertoreferee20250922.pdf