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arxiv: 1008.2775 · v2 · submitted 2010-08-16 · ✦ hep-th · cond-mat.supr-con

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Semionic Supersymmetric Solitons

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classification ✦ hep-th cond-mat.supr-con
keywords supersymmetricvortexabelian-higgsactionbogomolnyicentrally-chargeddescribedimensions
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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).

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