Nonlinear supersymmetry: from classical to quantum mechanics

Details Nonlinear supersymmetry: from classical to quantum mechanics Nonlinear supersymmetry: from classical to quantum mechanics

2004-02-03

arxiv.org/abs/hep-th/0402025v2

J.Phys.A37:10375-10384,2004

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1088/0305-4470/37/43/024

Quantization of the nonlinear supersymmetry faces a problem of a quantum anomaly. For some classes of superpotentials, the integrals of motion admit the corrections guaranteeing the preservation of the nonlinear supersymmetry at the quantum level. With an example of the system realizing the nonlinear superconformal symmetry, we discuss the nature of such corrections and speculate on their possible general origin.

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