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Coupled minimal models revisited II: Constraints from permutation symmetry
by António Antunes, Connor Behan
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Antonio Antunes |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2412.21107v4 (pdf) |
| Date accepted: | April 8, 2025 |
| Date submitted: | April 2, 2025, 7:50 p.m. |
| Submitted by: | Antunes, Antonio |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Coupling $N$ large $m$ minimal models and flowing to IR fixed points is a systematic way to build new classes of compact unitary 2d CFTs which are likely to be irrational, and potentially have a positive Virasoro twist gap above the vaccuum. In this paper, we build on the construction of [1], establishing that, for spins less than 10, additional currents transforming in non-trivial irreducible representations of the permutation symmetry $S_N$ are not conserved at the IR fixed points. Along the way, we develop a finer understanding of the spectrum of these theories, of the special properties of the $N=4$ case and of non-invertible symmetries that constrain them. We also discuss variations of the original setup of [1] some of which can exist for smaller values of the UV central charge.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
List of changes
Please see our responses to the referees.
Published as SciPost Phys. 18, 132 (2025)
Reports on this Submission
Report #1 by Sylvain Ribault (Referee 1) on 2025-4-3 (Invited Report)
Report
The authors have made significant improvements, both in substance and in clarity. These include the introduction of refined partition functions, which could be of independent interest. I have no further suggestions.
As a matter of principle I do not make recommendations on whether to publish articles or not. Editorial decisions belong to editors. Since the computer system makes it necessary to have a recommendation, I picked the first one in the list.
Recommendation
Publish (surpasses expectations and criteria for this Journal; among top 10%)