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Near-Extremal Limits of Warped CFTs
by Ankit Aggarwal, Alejandra Castro, Stéphane Detournay, Beatrix Mühlmann
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Ankit Aggarwal · Alejandra Castro |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2211.03770v2 (pdf) |
| Date accepted: | 2023-06-15 |
| Date submitted: | 2023-04-24 15:11 |
| Submitted by: | Aggarwal, Ankit |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Warped conformal field theories (WCFTs) are two-dimensional non-relativistic systems, with a chiral scaling and shift symmetry. We present a detailed derivation of the near-extremal limit for their torus partition function. This limit requires large values of the central charge, and is only consistent for non-unitary WCFT. We compare our analysis with previous studies of WCFT and its relation to a one-dimensional warped-Schwarzian theory. We discuss different ensembles of warped CFTs and contrast our results with analogous limits in two-dimensional CFTs.
Published as SciPost Phys. 15, 056 (2023)
Reports on this Submission
Report #2 by Anonymous (Referee 2) on 2023-6-2 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2211.03770v2, delivered 2023-06-02, doi: 10.21468/SciPost.Report.7292
Strengths
1-Well written and clear
2-Attacks and solves a well defined problem
3-Solves a previous outstanding puzzle
Weaknesses
1-The paper presents only a small technical result
2-The physical consequences of this result are not fully explored or applied.
Report
This paper presents a clear result to an outstanding puzzle. It is well written and self-contained. While of technical nature, it will be of use to researchers in the field. I recommend publication.
Requested changes
None.
Report #1 by Anonymous (Referee 1) on 2023-6-1 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2211.03770v2, delivered 2023-06-01, doi: 10.21468/SciPost.Report.7286
Strengths
1-The paper carefully defines the near-extremal limit of torus partition function of WCFTs under which a universal structure appears, and thus fills in an important gap in the existing literature.
2-They find that such a limit can be only accessed in non-unitary WCFTs, but not in the unitary ones.
3-The differences between the so-called canonical ensemble and quadratic ensembles are carefully analyzed.
Report
The paper studies warped conformal field theories (WCFTs), which are two dimensional quantum systems featuring a chiral Virasoro-Kac-Moody algebra. WCFTs have been conjectured to be holographically dual to gravitational systems with black hole solutions. Meanwhile, they are interesting in their own right. It has been shown in the previous literature that the near-extremal limit of black holes is universal and has a sector that can be described by a Schwartzian action. The paper carefully defines the near-extremal limit of torus partition function of WCFT under which the vacuum state dominates and the warped version of Schwartzian effective action appears. They find that such a limit can only be accessed in non-unitary WCFTs, but not in the unitary ones. They also compare the differences between the so-called canonical ensemble and quadratic ensembles. The careful analysis carried out in the paper is useful for further sharpening the definition of WCFTs and also for setting up more details in the holographic duality. The paper is very well-written. I recommend the paper to be published on Scipost.
Requested changes
1-"...unitary WCFTs do no have ..."in the sentence above "Non-Unitary WCFTs" should be "...unitary WCFTs do not have ...".