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Celestial $w_{1+\infty}$ charges and the subleading structure of asymptotically-flat spacetimes
by Marc Geiller
Submission summary
| Authors (as registered SciPost users): | Marc Geiller |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202411_00048v1 (pdf) |
| Date accepted: | 2024-12-04 |
| Date submitted: | 2024-11-22 17:35 |
| Submitted by: | Geiller, Marc |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study the subleading structure of asymptotically-flat spacetimes and its relationship to the $w_{1+\infty}$ loop algebra of higher spin charges. We do so using both the Bondi-Sachs and the Newman-Penrose formalism, via a dictionary built from a preferred choice of tetrad. This enables us to access properties of the so-called higher Bondi aspects, such as their evolution equations, their transformation laws under asymptotic symmetries, and their relationship to the Newman-Penrose and the higher spin charges. By studying the recursive Einstein evolution equations defining these higher spin charges, we derive the general form of their transformation behavior under BMSW symmetries. This leads to an immediate proof that the spin 0,1 and spin $s$ brackets reproduce upon linearization the structure expected from the $w_{1+\infty}$ algebra. We then define renormalized higher spin charges which are conserved in the radiative vacuum at quadratic order, and show that they satisfy for all spins the $w_{1+\infty}$ algebra at linear order in the radiative data.
Author indications on fulfilling journal expectations
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- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
Reports on this Submission
Report #1 by Geoffrey Compère (Referee 1) on 2024-11-25 (Invited Report)
Report
The authors have satisfactorily answered to all my requests.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)