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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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