Supersymmetry and Kac-Moody algebras |
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| Authors: | F Langouche T Schücker |
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| Institution: | (1) Laboratoire de Physique Théorique et Hautes Energies, University Paris VII, 2 place Jussieu, F-75151 Paris Cedex 05, France;(2) Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-6900 Heidelberg, West Germany |
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| Abstract: | 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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