Semionic Supersymmetric Solitons

TL;DR

This paper demonstrates that the Bogomolnyi vortex in a 2+1 dimensional N=2 supersymmetric abelian-Higgs model exhibits semionic behavior with spin 1/4, revealing novel quantum properties of these solitons.

Contribution

It introduces the concept of semionic spin for supersymmetric vortices and analyzes their effective superparticle action and quantum supermultiplet structure.

Findings

Vortex exhibits spin 1/4, classifying it as a semion.

Quantization yields a parity self-dual supermultiplet.

The superparticle action captures the vortex's quantum properties.

Abstract

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).