# Curiosities above c = 24

### Submission summary

 As Contributors: A. Ramesh Chandra · Sunil Mukhi Arxiv Link: https://arxiv.org/abs/1812.05109v2 Date submitted: 2019-01-31 Submitted by: Mukhi, Sunil Submitted to: SciPost Physics Domain(s): Theoretical Subject area: High-Energy Physics - Theory

### Abstract

Two-dimensional rational CFT are characterised by an integer $\ell$, the number of zeroes of the Wronskian of the characters. For $\ell<6$ 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 $\ell=2$.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 1812.05109v2 (31 January 2019)