Particle-Vortex Duality from 3D Bosonization
Abstract
We show how particle-vortex duality in d =2 +1 dimensions arises as part of an intricate web of relationships between different field theories. The starting point is "bosonization," a conjectured duality that uses flux attachment to transmute the statistics of relativistic particles. From this seed, we derive many old and new dualities. These include particle-vortex duality for bosons as well as the recently discovered counterpart for fermions.
- Publication:
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Physical Review X
- Pub Date:
- July 2016
- DOI:
- 10.1103/PhysRevX.6.031043
- arXiv:
- arXiv:1606.01893
- Bibcode:
- 2016PhRvX...6c1043K
- Keywords:
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- High Energy Physics - Theory;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 21 pages. v2: references added