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The Quantum 3D Superparticle
Symmetry, integrability and geometry: methods and applications, Tome 7 (2011) Cet article a éte moissonné depuis la source Math-Net.Ru

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The minimal ($\mathcal N=1$) 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 $(\beta -1/4,\beta+1/4)$ for arbitrary $\beta$. For zero mass, in which case spin is not defined, the quantum superparticle describes a supermultiplet of one boson and one fermion.
Keywords: superparticle; semion. 
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Luca Mezincescu; Paul K. Townsend. The Quantum 3D Superparticle. Symmetry, integrability and geometry: methods and applications, Tome 7 (2011). http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a4/

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