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Curiosities above c = 24

by A. Ramesh Chandra, Sunil Mukhi

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)

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