Two dimensional supersymmetric harmonic oscillator carrying a representation of the GL(2/1) graded Lie algebra
Ashok Das, Clovis Wotzasek (University of Rochester)
TL;DR
This paper investigates a 2D supersymmetric harmonic oscillator that embodies a representation of the graded Lie algebra GL(2/1), exploring its formulation on superspace and analyzing its physical spectrum.
Contribution
It introduces a novel supersymmetric oscillator model carrying a GL(2/1) representation and formulates it within superspace, advancing understanding of supersymmetric quantum systems.
Findings
Formulation of the supersymmetric oscillator on superspace
Identification of the oscillator's physical spectrum
Representation of GL(2/1) in the oscillator model
Abstract
We study a supersymmetric 2-dimensional harmonic oscillator which carries a representation of the general graded Lie algebra GL(21), formulate it on the superspace, and discuss its physical spectrum.
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