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Curiosities above c = 24
by A. Ramesh Chandra, Sunil Mukhi
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Submission summary
| Authors (as registered SciPost users): | A. Ramesh Chandra · Sunil Mukhi |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1812.05109v3 (pdf) |
| Date accepted: | 2019-04-24 |
| Date submitted: | 2019-04-04 02:00 |
| Submitted by: | Mukhi, Sunil |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Two-dimensional rational CFT are characterised by an integer $\ell$, related to the number of zeroes of the Wronskian of the characters. For two-character RCFT's with $\ell<6$ there is a finite number of theories and most of these are classified. Recently it has been shown that for $\ell \ge 6$ there are infinitely many admissible characters that could potentially describe CFT's. In this note we examine the $\ell=6$ case, whose central charges lie between 24 and 32, and propose a classification method based on cosets of meromorphic CFT's. We illustrate the method using theories on Kervaire lattices with complete root systems. In the process we construct the first known two-character RCFT's beyond $\ell=2$.
Author comments upon resubmission
List of changes
1. Explained that LY stands for "Lee-Yang"
2. Noted that at c=24, the number 71 of theories is subject to a uniqueness conjecture about the Monster CFT.
3. Added supplementary material in Sections 1 and 2 which address all the queries/comments of Referee 2 as well as the Editor's request to make the paper more self-contained.
Published as SciPost Phys. 6, 053 (2019)