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Super-Zeeman embedding models on \(N\)-supersymmetric world-lines. (English) Zbl 1156.81398

Summary: We construct a model of an electrically charged magnetic dipole with arbitrary \(N\)-extended world-line supersymmetry, which exhibits a supersymmetric Zeeman effect. By including supersymmetric constraint terms, the ambient space of the dipole may be tailored into an algebraic variety, and the supersymmetry broken for almost all parameter values. The so-exhibited obstruction to supersymmetry breaking refines the standard one, based on the Witten index alone.

MSC:

81Q60 Supersymmetry and quantum mechanics
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