The Quantum 3D Superparticle

Details The Quantum 3D Superparticle The Quantum 3D Superparticle

2010-11-23

arxiv.org/abs/1011.5049v2

SIGMA 7:005,2011

Physics

High Energy Physics

High Energy Physics - Theory

Contribution to proceedings of the SIGMA workshop "Supersymmetric Quantum Mechanics and Spectral Design", July 2010, Benasque,

Scientific paper

10.3842/SIGMA.2011.005

The minimal (${\cal N}=1$) 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.

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