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New supersymmetry transformations for a graded superfield oscillator. (English) Zbl 0703.58007

The author proposes a supersymmetric model containing both the bosonic and the fermionic harmonic oscillators. This graded superfield oscillator is defined, the symmetry properties of the action are discussed and the invariance under a new supersymmetry transformation, connected with super-rotations, is explicitly shown.
Reviewer: V.Silveira

MSC:

58C50 Analysis on supermanifolds or graded manifolds
17A70 Superalgebras
81T60 Supersymmetric field theories in quantum mechanics
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