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N=2-Supersymmetric Dynamics of a Spin-1/2 Particle in an Extended External Field

G. S. Dias·J. A. Helayel-Neto
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Abstract

One considers the quantum dynamics of a charged spin-1/2 particle in an extended external eletromagnetic field that arises from the reduction of a 5-dimensional Abelian gauge theory. The non-relativistic regime of the reduced 4D-dynamics is worked out and one identifies the system as a sector of an N=2-supersymmetric quantum-mechanical dynamics. The full supersymmetric model is studied and one checks the algebra of the fermionic charges; the conclusion is that no central charge drops out. The possible rôle of the extra external fields, a scalar and a magnetic-like field, is discussed.

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G. S. Dias, J. A. Helayel-Neto. 2002-04-25. N=2-Supersymmetric Dynamics of a Spin-1/2 Particle in an Extended External Field. https://arxiv.org/abs/hep-th/0204220

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