Supersymmetric Oscillator: Novel Symmetries

Abstract

We discuss various continuous and discrete symmetries of the supersymmetric simple harmonic oscillator (SHO) in one (0 + 1)-dimension of spacetime and show their relevance in the context of mathematics of differential geometry. We show the existence of a novel set of discrete symmetries in the theory which has, hitherto, not been discussed in the literature on theoretical aspects of SHO. We also point out the physical relevance of our present investigation.

REVTeX file, 5 pages, minor changes in title, text and abstract, references expanded, version to appear in EPL

References in corpus (5)

• A field-theoretic model for Hodge theory
• Rigid Rotor as a Toy Model for Hodge Theory
• BiHermitian Supersymmetric Quantum Mechanics
• Supersymmetry algebra cohomology I: Definition and general structure
• One-dimensional structures behind twisted and untwisted superYang-Mills theory

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• Supervariable approach to nilpotent symmetries of a couple of N = 2 supersymmetric quantum mechanical models
• Augmented Superfield Approach to Nilpotent Symmetries in the Modified Version of 2D Proca Theory
• Novel symmetries in an interacting N = 2 supersymmetric quantum mechanical model
• Canonical brackets of a toy model for the Hodge theory without its canonical conjugate momenta
• N = 2 Supersymmetric Harmonic Oscillator: Basic Brackets Without Canonical Conjugate Momenta
• A Specific N = 2 Supersymmetric Quantum Mechanical Model: Supervariable Approach
• N= 4 Supersymmetric Quantum Mechanical Model: Novel Symmetries
• Revisiting Novel Symmetries in Coupled $\mathcal{N}=2$ Supersymmetric Quantum Systems: Examples and Supervariable Approach