Particle-Vortex Duality from 3d Bosonization

Understand

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.