Super-Zeeman Embedding Models on N-Supersymmetric World-Lines
C.F. Doran, M.G. Faux, S.J. Gates, Jr., T. Hubsch, K.M. Iga, G.D., Landweber
TL;DR
This paper develops a supersymmetric model of a charged magnetic dipole on N-extended world-line supersymmetry, revealing a refined obstruction to supersymmetry breaking beyond the Witten index.
Contribution
It introduces a novel supersymmetric Zeeman effect model with algebraic variety constraints, advancing understanding of supersymmetry breaking mechanisms.
Findings
Supersymmetric Zeeman effect demonstrated in a new model
Supersymmetry broken for most parameter values
Obstruction to supersymmetry breaking refined beyond Witten index
Abstract
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.
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