Particle-Vortex Duality from 3d Bosonization
Andreas Karch, David Tong
TL;DR
This paper derives particle-vortex duality in 2+1 dimensions using flux attachment, establishing a unified framework for bosonic and fermionic dualities and expanding the web of known dualities.
Contribution
It provides a simple derivation of particle-vortex duality from flux attachment, connecting bosonic and fermionic dualities in 2+1 dimensions.
Findings
Derived particle-vortex duality for bosons and fermions
Established a web of new dualities in 2+1 dimensions
Unified understanding of flux attachment and dualities
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.
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