Beauty and the beast: Superconformal symmetry in a monster module
type: Item
instance of: scholarly article
title: Beauty and the beast: Superconformal symmetry in a monster module
zbMATH Open document ID: 0657.17011
DOI: 10.1007/BF01217740
author: S. H. Smith
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: \textit{I. B. Frenkel}, \textit{J. Lepowsky} and \textit{A. Meurman} have constructed a representation of the monster finite simple group on a certain vertex algebra associated to the Leech lattice [Proc. Natl. Acad. Sci. USA 81, 3256-3260 (1984; Zbl 0543.20016); see also \textit{R. E. Borcherds}, ibid. 84, 3068-3071 (1986; Zbl 0613.17012)]. This vertex algebra can be interpreted as the operator product algebra of a conformal field theory of central charge 24. In particular, there is an action of (two commuting copies of) the Virasoro algebra. In this paper, the authors show that the action extends to one of the super-Virasoro algebra with central charge 16.
reviewed by: Andrew N. Pressley
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 17B70
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 81T40
zbMATH DE Number: 4073233
zbMATH Keywords: Fischer-Griess monster
zbMATH Keywords: supersymmetry generator
zbMATH Keywords: bosonic twist fields
zbMATH Keywords: representation of the monster finite simple group
zbMATH Keywords: vertex algebra
zbMATH Keywords: Leech lattice
zbMATH Keywords: operator product algebra
zbMATH Keywords: conformal field theory
zbMATH Keywords: super-Virasoro algebra
zbMATH Keywords: central charge 16
Wikidata QID: Q56429238
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4073233