SciPost Submission Page
Holography for bulk states in 3D quantum gravity
by Joris Raeymaekers, Gideon Vos
This Submission thread is now published as
|Authors (as registered SciPost users):||Joris Raeymaekers · Gideon Vos|
|Preprint Link:||scipost_202302_00021v1 (pdf)|
|Date submitted:||2023-02-10 18:29|
|Submitted by:||Vos, Gideon|
|Submitted to:||SciPost Physics|
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.
Published as SciPost Phys. 15, 054 (2023)
Author comments upon resubmission
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.
Submission & Refereeing History
You are currently on this page
Reports on this Submission
- 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.