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Supersymmetry and Kac-Moody algebras

✍ Scribed by F. Langouche; T. Schücker

Publisher: Springer
Year: 1986
Tongue: English
Weight: 234 KB
Volume: 11
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00400226

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✦ Synopsis

The invariance algebra of the Majorana action contains a Kae--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.

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