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Celestial Holography: Lectures on Asymptotic Symmetries

by P. B. Aneesh, Geoffrey Comp\`{e}re, Leonardo Pipolo de Gioia, Igor Mol, Bianca Swidler

Submission summary

As Contributors: Geoffrey Compère
Preprint link: scipost_202109_00027v1
Date submitted: 2021-09-21 21:14
Submitted by: Compère, Geoffrey
Submitted to: SciPost Physics Lecture Notes
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

The aim of these Lectures is to provide a brief overview of the subject of asymptotic symmetries of gauge and gravity theories in asymptotically flat spacetimes as background material for celestial holography.

Current status:
Editor-in-charge assigned


Submission & Refereeing History


Reports on this Submission

Anonymous Report 2 on 2021-11-9 (Invited Report)

Report

This is a review on the subject of asymptotic symmetries, a theme of active research. It covers basic aspects of the general formulation of the problem and discusses in some detail a few important instances, including structure and significance of the BMS group in three and four dimensions.

The presentation is clear, although coincise, and may provide a good starting point for researchers interested in approaching the subject. The material is presented from an up-to-date perspective taking recent advances into account, e.g. the definition of ASG as including the asymptotic symmetries of all possible dual formulation of a theory or the role of subleading symmetries in accounting for memory effects.

I recommend publication in the present journal.

Requested changes

I spotted a few typos:

1. Eq (15) and four lines below: \phi_+ and \phi_- should probably carry additional labels (compare with previous page)
2. Below eq (28): ``with insight'' --> ``with hindsight'' (I guess)
3. Page 10, sentence starting at line 3; it seems a few words are missing: `` The central [charge] has therefore dimension[s of] inverse length''
4. Page 10, line 4 Poincare --> Poincaré
5. Page 11, line 2: path --> past
6. Page 11, beginning of section 2.3: the first sentences doesn't sound correct; maybe enough to change the first ``is'' into ``to''
7. Page 13, below eq (52): dotes --> dots
8. Page 14, below eq (57): ``where M(\theta, \phi) [...]'' sounds like the quantity M was introduced in the previous equations.

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Anonymous Report 1 on 2021-11-5 (Invited Report)

Report

The Lectures cover the topic of asymptotic symmetries in gravity and gauge theories, and are aimed in particular at readers interested in celestial holography, which is a very timely topic. The review is very interesting and covers a large number of tpics - because of this it is not necessarily entirely self-contained - however the authors have clearly referenced the sources where the additional details can be found.

I recommend publication.
I only have a number of very small comments that could help with clarity:
- at the top of page 4, mention that n is the space-time dimension
- in eqn. 15, I think the phi's are missing superscripts
- in the paragraph ebove eqn (37), one of the r's should be t

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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