A remarkable connection between the representations of the Lie superalgebras osp(1, 2n) and the Lie algebras o(2n+1) |
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| Authors: | V Rittenberg M Scheunert |
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| Institution: | (1) CERN, Geneva, Switzerland;(2) Department of Physics, University of Wuppertal, D-5600 Wuppertal, Federal Republic of Germany;(3) Present address: Physikalisches Institut Universität Bonn, D-5300 Bonn, Federal Republic of Germany |
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| Abstract: | We show that there is a one-to-one correspondence between the graded representations of osp(1, 2n) and the non-spinorial representations of o(2n+1). The Clebsch-Gordan series for osp(1, 2n) reduce to the corresponding series for o(2n+1) and the properly defined Casimir operators of order at least up to four have the same eigenvalues.Supported by the Deutsche Forschungsgemeinschaft |
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