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.
Original language | English (US) |
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Article number | 005 |
Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Volume | 7 |
DOIs | |
State | Published - 2011 |
Keywords
- Semion
- Superparticle
ASJC Scopus subject areas
- Analysis
- Mathematical Physics
- Geometry and Topology