This article is cited in 7 papers

The Quantum 3D Superparticle

Luca Mezincescu^a, Paul K. Townsend<sup>b

a</sup> Department of Physics, University of Miami, Coral Gables, FL 33124, USA
^b Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK

Abstract: 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.

MSC: 81Q60

Received: November 29, 2010; in final form January 5, 2011; Published online January 10, 2011

Language: English

DOI: 10.3842/SIGMA.2011.005

Bibliographic databases:

• 
• 
• 

ArXiv: 1011.5049