Particle-Vortex Duality from 3d Bosonization
arXiv:1606.01893 · doi:10.1103/PhysRevX.6.031043
Abstract
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.
21 pages. v2: references added