Novel symmetries in an interacting N = 2 supersymmetric quantum mechanical model

Abstract

We demonstrate the existence of a set of novel discrete symmetry transformations in the case of an interacting N = 2 supersymmetric quantum mechanical model of a system of an electron moving on a sphere in the background of a magnetic monopole and establish its interpretation in the language of differential geometry. These discrete symmetries are, over and above, the usual three continuous symmetries of the theory which together provide the physical realizations of the de Rham cohomological operators of differential geometry. We derive the nilpotent N = 2 SUSY transformations by exploiting our idea of supervariable approach and provide geometrical meaning to these transformations in the language of Grassmannian translational generators on a (1, 2)-dimensional supermanifold on which our N = 2 SUSY quantum mechanical model is generalized. We express the conserved supercharges and the invariance of the Lagrangian in terms of the supervariables (obtained after the imposition of the SUSY invariant restrictions) and provide the geometrical meaning to (i) the nilpotency property of the N = 2 supercharges, and (ii) the SUSY invariance of the Lagrangian of our N = 2 SUSY theory.

LaTeX file, 22 pages, version to appear in IJMPA

References in corpus (5)

• Multi-center MICZ-Kepler system, supersymmetry and integrability
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
• N = 2 SUSY symmetries for a moving charged particle under influence of a magnetic field: Supervariable approach
• Novel symmetries in N = 2 supersymmetric quantum mechanical models
• A Free N = 2 Supersymmetric System: Novel Symmetries

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• Massive 4D Abelian 2-Form Theory: Nilpotent Symmetries from the (Anti-)Chiral Superfield Approach
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• Nilpotent Charges in an Interacting Gauge Theory and an N = 2 SUSY Quantum Mechanical Model: (Anti-)Chiral Superfield Approach
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