Supersymmetry and Kac-Moody algebras (Q1078312)

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scientific article; zbMATH DE number 3959727
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Supersymmetry and Kac-Moody algebras
scientific article; zbMATH DE number 3959727

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    Supersymmetry and Kac-Moody algebras (English)
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    1986
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    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.
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    Majorana action
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    Wess-Zumino model
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    supersymmetry
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    infinite-dimensional Lie algebra
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    Grassmannian extension
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    Kac-Moody algebra
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    Noether charges
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