The quantum 3D superparticle

Abstract

The minimal (N = 1) superparticle in three spacetime dimensions (3D) is quantized. For non-zero mass it describes a spin-1/4 semion supermultiplet of relativistic helicities (-1/4, 1/4). The addition of a parity-violating Lorentz-Wess-Zumino term shifts this to (β-1/4 β +1/4) for arbitrary β. For zero mass, in which case spin is not defined, the quantum superparticle describes a supermultiplet of one boson and one fermion.