Nonlinear supersymmetry: From classical to quantum mechanics

  title={Nonlinear supersymmetry: From classical to quantum mechanics},
  author={Mikhail S. Plyushchay},
  journal={Journal of Physics A},
  • M. Plyushchay
  • Published 3 February 2004
  • Physics
  • Journal of Physics A
Quantization of the nonlinear supersymmetry faces a problem of a quantum anomaly. For some classes of superpotentials, the integrals of motion admit corrections guaranteeing the preservation of the nonlinear supersymmetry at the quantum level. With an example of a system realizing the nonlinear superconformal symmetry, we discuss the nature of such corrections and speculate on their possible general origin. 

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