Particle-vortex duality from 3D bosonization
Published version
Peer-reviewed
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Type
Article
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Authors
Karch, A
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.
Description
Keywords
hep-th, hep-th, cond-mat.str-el
Journal Title
Physical Review X
Conference Name
Journal ISSN
2160-3308
2160-3308
2160-3308
Volume Title
6
Publisher
American Physical Society (APS)
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Sponsorship
Science and Technology Facilities Council (ST/L000385/1)
European Research Council (279943)
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