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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 005, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.005 (Mi sigma563) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The Quantum 3D Superparticle

Luca Mezincescua, Paul K. Townsendb

a 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
Full-text PDF (327 kB) Citations (6)
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DOI: https://doi.org/10.3842/SIGMA.2011.005
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.
Received: November 29, 2010; in final form January 5, 2011; Published online January 10, 2011
Bibliographic databases:
Document Type: Article
MSC: 81Q60
Language: English
Citation: Luca Mezincescu, Paul K. Townsend, “The Quantum 3D Superparticle”, SIGMA, 7 (2011), 005, 11 pp.
Citation in format AMSBIB
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\by Luca Mezincescu, Paul K.~Townsend
\paper The Quantum 3D Superparticle
\jour SIGMA
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\vol 7
\papernumber 005
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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