  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).
