The quantum 3D superparticle

Luca Mezincescu, Paul K. Townsend

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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 languageEnglish (US)
Article number005
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
StatePublished - 2011


  • Semion
  • Superparticle

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Geometry and Topology


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