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Curiosities above c = 24
by A. Ramesh Chandra, Sunil Mukhi
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 $\ell=2$.
Publication decision taken: accept
Author comments upon resubmission
We have revised the article to incorporate the suggestions of both referees and the editor, notably by adding some introductory material and clarifying a few points.
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.