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A note on the Noether-Wald and generalized Komar charges

by Tomás Ortín, Matteo Zatti

Submission summary

Authors (as registered SciPost users): Matteo Zatti
Submission information
Preprint Link: https://arxiv.org/abs/2411.10420v2  (pdf)
Date submitted: Sept. 30, 2025, 12:03 p.m.
Submitted by: Matteo Zatti
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical

Abstract

We propose a simple algorithm to compute the generalized Komar charge of any exactly gauge- and diffeomorphism-invariant theory.

List of changes

  • We extended the discussion between equations (4) and (6) of the V1. Eq. (6) of V1 is labeled as Eq. (9) in V2.
Current status:
In refereeing

Reports on this Submission

Report #2 by Anonymous (Referee 1) on 2025-11-19 (Invited Report)

Report

The authors have addressed the main weak point of the previous version. I believe that the paper meets the acceptance criteria for this journal.

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Report #1 by Anonymous (Referee 2) on 2025-11-12 (Contributed Report)

Report

In this paper we find a complete and elegant construction of generalized Komar charges (more precisely, charge density (d-2)-forms) in gauge- and diffeo-invariant theories. Attention has been paid to the subtle difference between the Komar and Noether charges, and the result has been illustrated with a brief derivation of the Komar charge, including both electric and magnetic contributions, in Einstein-Maxwell theory in any dimension. I have checked the latest version (arXiv V2) for correctness and recommend this work for publication.

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