Particle-Vortex Duality from 3D Bosonization

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.

Keywords

5107 Particle and High Energy Physics, 51 Physical Sciences

Journal Title

Physical Review X

Journal ISSN

2160-3308
2160-3308

Volume Title

6

Publisher

American Physical Society (APS)

Publisher DOI

https://doi.org/10.1103/physrevx.6.031043

Rights and licensing

Except where otherwised noted, this item's license is described as Attribution 4.0 International

Sponsorship

Science and Technology Facilities Council (ST/L000385/1)
European Research Council (279943)

US Department of Energy (Grant ID: DE-SC0011637), Science and Technology Facilities Council, European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013) (GrantID: STG 279943, “Strongly Coupled Systems”), Stanford Institute for Theoretical Physics, University of Washington

Collections

Scholarly Works - Applied Mathematics and Theoretical Physics
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