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arxiv: 1606.01893 · v2 · pith:Q4VZGJ5Mnew · submitted 2016-06-06 · ✦ hep-th · cond-mat.str-el

Particle-Vortex Duality from 3d Bosonization

classification ✦ hep-th cond-mat.str-el
keywords dualityparticle-vortexattachmentbosonizationbosonscounterpartderivationderive
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We provide a simple derivation of particle-vortex duality in d=2+1 dimensions. Our starting point is a relativistic form of flux attachment, designed to transmute the statistics of particles. From this seed, we derive a web of new dualities. These include particle-vortex duality for bosons as well as the recently discovered counterpart for fermions.

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