Doran, C. F.; Faux, M. G.; Gates, S. J. jun.; Hübsch, T.; Iga, K. M.; Landweber, G. D. Super-Zeeman embedding models on \(N\)-supersymmetric world-lines. (English) Zbl 1156.81398 J. Phys. A, Math. Theor. 42, No. 6, Article ID 065402, 12 p. (2009). 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. Cited in 6 Documents MSC: 81Q60 Supersymmetry and quantum mechanics PDFBibTeX XMLCite \textit{C. F. Doran} et al., J. Phys. A, Math. Theor. 42, No. 6, Article ID 065402, 12 p. (2009; Zbl 1156.81398) Full Text: DOI arXiv