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Holography for bulk states in 3D quantum gravity

by Joris Raeymaekers, Gideon Vos

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Joris Raeymaekers · Gideon Vos
Submission information
Preprint Link: scipost_202302_00021v1  (pdf)
Date accepted: 2023-05-31
Date submitted: 2023-02-10 18:29
Submitted by: Vos, Gideon
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical


In this work we discuss the holographic description of states in the Hilbert space of (2+1)-dimensional quantum gravity, living on a time slice in the bulk. We focus on pure gravity coupled to pointlike sources for heavy spinning particles. We develop a formulation where the equations for the backreacted metric reduce to two decoupled Liouville equations with delta-function sources under pseudosphere boundary conditions. We show that both the semiclassical wavefunction and the gravity solution are determined by a universal object, namely a classical Virasoro vacuum block on the sphere. In doing so we derive a version of Polyakov's conjecture, as well as an existence criterion, for classical Liouville theory on the pseudosphere. We also discuss how some of these results are modified when considering closed universes with compact spatial slices.

Author comments upon resubmission

We would like to thank the referees for their constructive comments. Individual questions will be addressed in private remarks, the full list of changes is documented below:

List of changes

-Section 3.2 as well as page 3 of the introduction and the caption of figure 1 have been modified to highlight the distinction between the conventional Hartle-Hawking wavefunctional and our Hartle-Hawking-like procedure. A footnote has been added on page 4 as well.

-Referee 2 has raised a valuable point regarding the modulus squared of equation (3), a consistency check with respect to [11, 12] in the spinless case has been added to page 4 with some further comment on page 28 (cont. 29). In addition, a footnote has been added on page 4 thanking the referee for pointing this out to us.

-The novel introduction of a class of spinning particles has been reemphasized in section 5. A summary of obtained results has been added as well.

-An ambiguity in terminology regarding the presence of black holes in our considered set of states has been addressed on page 2.

-The caption of figure 4 has been modified in order to avoid miscommunication.

-Various typo's have been fixed.

Published as SciPost Phys. 15, 054 (2023)

Reports on this Submission

Anonymous Report 2 on 2023-5-5 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:scipost_202302_00021v1, delivered 2023-05-05, doi: 10.21468/SciPost.Report.7153


1- Paper is self contained and exhaustive
2- Builds on a program of both the authors
3- Nicely follows through on providing a picture relating bulk states to the CFT Hilbert space in the spirit of CFT/AdS
4-The authors have done a good job distilling difficult-to-read results from past literature and making it accessible


I am happy with the changes made by the authors and believe this paper should be accepted for publication.

  • validity: top
  • significance: top
  • originality: high
  • clarity: top
  • formatting: perfect
  • grammar: perfect

Anonymous Report 1 on 2023-4-7 (Invited Report)


In the revised version the authors have addressed the comments raised in the first report. As noted there, it is a nice addition to the literature on 3d gravity. I therefore recommend the article for publication.

  • validity: high
  • significance: good
  • originality: good
  • clarity: good
  • formatting: excellent
  • grammar: excellent

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