Supersymmetry and Kac-Moody algebras
type: Item
instance of: scholarly article
title: Supersymmetry and Kac-Moody algebras
zbMATH Open document ID: 0596.17015
DOI: 10.1007/BF00400226
author: F. Langouche
author: Thomas Schücker
published in: Letters in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: The invariance algebra of the Majorana action contains a Kac-Moody algebra which, 'on shell', reduces to an Abelian algebra. In the absence of auxiliary fields in the Wess-Zumino model, supersymmetry transformations generate an infinite-dimensional Lie algebra, which is shown to be a Grassmannian extension of this Kac-Moody algebra. The corresponding Noether charges are discussed.
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 81R10
Mathematics Subject Classification ID: 81T60
zbMATH DE Number: 3959727
zbMATH Keywords: Majorana action
zbMATH Keywords: Wess-Zumino model
zbMATH Keywords: supersymmetry
zbMATH Keywords: infinite-dimensional Lie algebra
zbMATH Keywords: Grassmannian extension
zbMATH Keywords: Kac-Moody algebra
zbMATH Keywords: Noether charges
MaRDI profile type: Publication
cites work: Do supersymmetries form a group?
cites work: \(D=1\) supergravity and spinning particles
full work available at URL: https://doi.org/10.1007/bf00400226
OpenAlex ID: W2091092945
description: scientific article; zbMATH DE number 3959727