The quantum 3D superparticle

Luca Mezincescu; Paul K. Townsend

doi:10.3842/SIGMA.2011.005

The quantum 3D superparticle

Luca Mezincescu, Paul K. Townsend

Physics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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)
Article number	005
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	7
DOIs	https://doi.org/10.3842/SIGMA.2011.005
State	Published - 2011

Keywords

Semion
Superparticle

ASJC Scopus subject areas

Analysis
Mathematical Physics
Geometry and Topology

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10.3842/SIGMA.2011.005

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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.",

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author = "Luca Mezincescu and Townsend, {Paul K.}",

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AU - Mezincescu, Luca

AU - Townsend, Paul K.

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AB - 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.

KW - Semion

KW - Superparticle

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JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SN - 1815-0659

M1 - 005

ER -

The quantum 3D superparticle

Abstract

Keywords

ASJC Scopus subject areas

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