SciPost Submission Page
KdV charges in TTbar theories and new models with super-Hagedorn behavior
by Bruno Le Floch and Márk Mezei
Submission summary
| Authors (as registered SciPost users): | Bruno Le Floch |
| Submission information | |
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| Preprint Link: | scipost_201907_00001v1 (pdf) |
| Date accepted: | Sept. 19, 2019 |
| Date submitted: | July 6, 2019, 2 a.m. |
| Submitted by: | Bruno Le Floch |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Two-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents. These currents can be argued to remain conserved under the $T\bar{T}$ deformation and its generalizations. We determine the flow equations the KdV charges obey under the $T\bar{T}$ deformation: they behave as probes ``riding the Burgers flow'' of the energy eigenvalues. We also study a Lorentz-breaking $T_{s+1}\bar{T}$ deformation built from a KdV current and the stress tensor, and find a super-Hagedorn growth of the density of states.
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
Reports on this Submission
Report #3 by Anonymous (Referee 3) on 2019-9-12 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_201907_00001v1, delivered 2019-09-12, doi: 10.21468/SciPost.Report.1169
Report
The only thing that made me slightly uncomfortable is the way the authors refer to [5,57]. It is true that there the evolution equation for KdV charges was performed using integrability, however, in this case it does not make the derivation less general. The reason is that, under rather mild assumptions, existence of a single higher spin charge leads to existence of infinitely many and hence integrability. Thus results of [5,57] couldn't have been a "miracle of some special models". I do not think that this fact reduces the value of the present paper in any way. Direct operator-language derivation presented here is of its own interest, Independently of the previous results that rely on heavy integrability machinery.
Requested changes
Authors may wish to change how they refer to [5,57].
Report
Report #1 by Anonymous (Referee 1) on 2019-7-27 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_201907_00001v1, delivered 2019-07-27, doi: 10.21468/SciPost.Report.1078
Report
The paper is very thorough if rather dense, and I have no suggestions for improvements.
Author: Bruno Le Floch on 2019-09-26 [id 609]
(in reply to Report 3 on 2019-09-12)Thank you for the report. In the proofs we clarified our reference to [5,57] by a footnote, in which we explain that having infinitely many conserved charges does not make the theory integrable in the sense that dynamics of the theory would be completely fixed by symmetries. For instance it is expected that a generic CFT is non-integrable, despite the scarcity of explicit examples.