The Quantum 3D Superparticle
arXiv:1011.5049 · doi:10.3842/SIGMA.2011.005
Abstract
The minimal () 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 for arbitrary . For zero mass, in which case spin is not defined, the quantum superparticle describes a supermultiplet of one boson and one fermion.
Contribution to proceedings of the SIGMA workshop "Supersymmetric Quantum Mechanics and Spectral Design", July 2010, Benasque, Spain