Retraction of "Half-integer spin representations of the graded extension of so(2,1) Lie algebra: Spin 3/2 particle in the Dirac-Oscillator potential"

Abstract

The representation of the superalgebra SO(2,1) which is given by Eq. (3.1) and which resulted in the relativistic wave equation (4.1) is fully reducible. In fact, its even part is the direct sum of two spin 1/2 representations of the Lorentz group and does not represent spin 3/2 particle as we claimed. Consequently, we retract our claim and withdraw the manuscript.