Meromorphic \(c=24\) conformal field theories
type: Item
instance of: scholarly article
title: Meromorphic \(c=24\) conformal field theories
zbMATH Open document ID: 0782.17014
DOI: 10.1007/BF02099044
author: A. N. Schellekens
published in: Communications in Mathematical Physics
publication date: 1993-06-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/9205072
review text: The goal of this paper is to complete the list of meromorphic \(c=24\) conformal field theories. This goal is achieved under three additional assumptions. First of all the methods used in this paper require that \({\mathcal N}\neq 0\), where \({\mathcal N}\) denotes the number of spin-1 operators in the chiral algebra. Secondly, the author assumes that the chiral algebra is generated by a finite number of currents. Finally, he does not really construct conformal field theories, but modular invariant combinations of Kac-Moody characters. The result suggests the existence of 71 meromorphic \(c=24\) theories.
reviewed by: Viktor Abramov
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B69
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 30F99
Mathematics Subject Classification ID: 81R10
zbMATH DE Number: 221175
zbMATH Keywords: classification of conformal field theories
zbMATH Keywords: Kac-Moody algebras
zbMATH Keywords: chiral algebra
MaRDI profile type: Publication
arXiv ID: hep-th/9205072
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OpenAlex ID: W2125330603
description: scientific article