MTd2
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http://arxiv.org/abs/1011.5049
The Quantum 3D Superparticle
Luca Mezincescu, Paul K. Townsend
(Submitted on 23 Nov 2010)
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 (b -1/4,b+1/4) for arbitrary b. For zero mass, in which case spin is not defined, the quantum superparticle describes a supermultiplet of one boson and one fermion.
http://arxiv.org/abs/1008.2775
Semionic Supersymmetric Solitons
Luca Mezincescu, Paul K. Townsend
(Submitted on 16 Aug 2010 (v1), last revised 15 Oct 2010 (this version, v2))
The Bogomolnyi vortex of the N=2 supersymmetric abelian-Higgs model in 2+1 dimensions is shown to be a ``semion'' of spin 1/4. Specifically, the effective superparticle action for one vortex is shown to describe, upon quantization, a parity self-dual centrally-charged `short' supermultiplet of ``relativistic helicities'' (-1/4,-1/4, 1/4,1/4).
http://arxiv.org/abs/1008.2334
Anyons from Strings
Luca Mezincescu, Paul K. Townsend
(Submitted on 13 Aug 2010 (v1), last revised 8 Oct 2010 (this version, v2))
The Nambu-Goto string in a 3-dimensional (3D) Minkowski spacetime is quantized preserving Lorentz invariance and parity. The spectrum of massive states contains anyons. An ambiguity in the ground state energy is resolved by the 3D N=1 Green-Schwarz superstring, which has massless ground states describing a dilaton and dilatino, and first-excited states of spin 1/4
The Quantum 3D Superparticle
Luca Mezincescu, Paul K. Townsend
(Submitted on 23 Nov 2010)
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 (b -1/4,b+1/4) for arbitrary b. For zero mass, in which case spin is not defined, the quantum superparticle describes a supermultiplet of one boson and one fermion.
http://arxiv.org/abs/1008.2775
Semionic Supersymmetric Solitons
Luca Mezincescu, Paul K. Townsend
(Submitted on 16 Aug 2010 (v1), last revised 15 Oct 2010 (this version, v2))
The Bogomolnyi vortex of the N=2 supersymmetric abelian-Higgs model in 2+1 dimensions is shown to be a ``semion'' of spin 1/4. Specifically, the effective superparticle action for one vortex is shown to describe, upon quantization, a parity self-dual centrally-charged `short' supermultiplet of ``relativistic helicities'' (-1/4,-1/4, 1/4,1/4).
http://arxiv.org/abs/1008.2334
Anyons from Strings
Luca Mezincescu, Paul K. Townsend
(Submitted on 13 Aug 2010 (v1), last revised 8 Oct 2010 (this version, v2))
The Nambu-Goto string in a 3-dimensional (3D) Minkowski spacetime is quantized preserving Lorentz invariance and parity. The spectrum of massive states contains anyons. An ambiguity in the ground state energy is resolved by the 3D N=1 Green-Schwarz superstring, which has massless ground states describing a dilaton and dilatino, and first-excited states of spin 1/4