Particle-Vortex Duality from 3D Bosonization
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.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Washington, Seattle, WA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1328536
- Alternate Identifier(s):
- OSTI ID: 1360117; OSTI ID: 1595211
- Grant/Contract Number:
- SC0011637
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. X
- Additional Journal Information:
- Journal Name: Physical Review. X Journal Volume: 6 Journal Issue: 3; Journal ID: ISSN 2160-3308
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; condensed matter physics; string theory; strongly correlated materials
Citation Formats
Karch, Andreas, and Tong, David. Particle-Vortex Duality from 3D Bosonization. United States: N. p., 2016.
Web. doi:10.1103/PhysRevX.6.031043.
Karch, Andreas, & Tong, David. Particle-Vortex Duality from 3D Bosonization. United States. https://doi.org/10.1103/PhysRevX.6.031043
Karch, Andreas, and Tong, David. Mon .
"Particle-Vortex Duality from 3D Bosonization". United States. https://doi.org/10.1103/PhysRevX.6.031043.
@article{osti_1328536,
title = {Particle-Vortex Duality from 3D Bosonization},
author = {Karch, Andreas and Tong, David},
abstractNote = {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.},
doi = {10.1103/PhysRevX.6.031043},
journal = {Physical Review. X},
number = 3,
volume = 6,
place = {United States},
year = {Mon Sep 19 00:00:00 EDT 2016},
month = {Mon Sep 19 00:00:00 EDT 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevX.6.031043
https://doi.org/10.1103/PhysRevX.6.031043
Other availability
Cited by: 249 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Is the Composite Fermion a Dirac Particle?
journal, September 2015
- Son, Dam Thanh
- Physical Review X, Vol. 5, Issue 3
Chern Simons duality with a fundamental boson and fermion
journal, November 2013
- Jain, Sachin; Minwalla, Shiraz; Yokoyama, Shuichi
- Journal of High Energy Physics, Vol. 2013, Issue 11
3d dualities from 4d dualities
journal, July 2013
- Aharony, Ofer; Razamat, Shlomo S.; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2013, Issue 7
Aspects of N = 2 supersymmetric gauge theories in three dimensions
journal, August 1997
- Aharony, O.; Hanany, A.; Intriligator, K.
- Nuclear Physics B, Vol. 499, Issue 1-2
Competing orders, nonlinear sigma models, and topological terms in quantum magnets
journal, August 2006
- Senthil, T.; Fisher, Matthew P. A.
- Physical Review B, Vol. 74, Issue 6
Baryons, monopoles and dualities in Chern-Simons-matter theories
journal, February 2016
- Aharony, Ofer
- Journal of High Energy Physics, Vol. 2016, Issue 2
Continuous transition between fractional quantum Hall and superfluid states
journal, June 2014
- Barkeshli, Maissam; McGreevy, John
- Physical Review B, Vol. 89, Issue 23
Criticality in quantum triangular antiferromagnets via fermionized vortices
journal, August 2005
- Alicea, Jason; Motrunich, Olexei I.; Hermele, Michael
- Physical Review B, Vol. 72, Issue 6
Mirror symmetry in three-dimensional gauge theories, quivers and D-branes
journal, May 1997
- de Boer, Jan; Hori, Kentaro; Ooguri, Hirosi
- Nuclear Physics B, Vol. 493, Issue 1-2
Dual Dirac Liquid on the Surface of the Electron Topological Insulator
journal, November 2015
- Wang, Chong; Senthil, T.
- Physical Review X, Vol. 5, Issue 4
Magnetic Flux, Angular Momentum, and Statistics
journal, April 1982
- Wilczek, Frank
- Physical Review Letters, Vol. 48, Issue 17
Emergent photons and transitions in the sigma model with hedgehog suppression
journal, August 2004
- Motrunich, Olexei I.; Vishwanath, Ashvin
- Physical Review B, Vol. 70, Issue 7
On Bose-Fermi Equivalence in a u(1) Gauge Theory with Chern-Simons Action
journal, March 1990
- Shaji, N.; Shankar, R.; Sivakumar, M.
- Modern Physics Letters A, Vol. 05, Issue 08
Mirror symmetry and the half-filled Landau level
journal, December 2015
- Kachru, Shamit; Mulligan, Michael; Torroba, Gonzalo
- Physical Review B, Vol. 92, Issue 23
Topological Disorder Operators in Three-Dimensional Conformal Field Theory
journal, November 2002
- Borokhov, Vadim; Kapustin, Anton; Wu, Xinkai
- Journal of High Energy Physics, Vol. 2002, Issue 11
Fermionization of Self-Interacting Charged Scalar Fields Coupled to Abelian Chern-Simons Gauge Fields in 2+1 Dimensions
journal, March 1991
- Paul, Samir K.; Shankar, R.; Sivakumar, M.
- Modern Physics Letters A, Vol. 06, Issue 07
Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids
journal, February 2016
- Wang, Chong; Senthil, T.
- Physical Review B, Vol. 93, Issue 8
Emergent particle-hole symmetry in the half-filled Landau level
journal, August 2016
- Mulligan, Michael; Raghu, S.; Fisher, Matthew P. A.
- Physical Review B, Vol. 94, Issue 7
Monopole Operators and Mirror Symmetry in Three Dimensions
journal, December 2002
- Borokhov, Vadim; Kapustin, Anton; Wu, Xinkai
- Journal of High Energy Physics, Vol. 2002, Issue 12
Group-level duality in WZW models and Chern-Simons theory
journal, August 1990
- Naculich, S. G.; Riggs, H. A.; Schnitzer, H. J.
- Physics Letters B, Vol. 246, Issue 3-4
Comments on Chern-Simons contact terms in three dimensions
journal, September 2012
- Closset, Cyril; Dumitrescu, Thomas T.; Festuccia, Guido
- Journal of High Energy Physics, Vol. 2012, Issue 9
Chern–Simons theory with vector fermion matter
journal, August 2012
- Giombi, Simone; Minwalla, Shiraz; Prakash, Shiroman
- The European Physical Journal C, Vol. 72, Issue 8
Mirror symmetry and toric geometry in three-dimensional gauge theories
journal, May 2000
- Dorey, Nick; Tong, David
- Journal of High Energy Physics, Vol. 2000, Issue 05
Gauge Noninvariance and Parity Nonconservation of Three-Dimensional Fermions
journal, January 1984
- Redlich, A. N.
- Physical Review Letters, Vol. 52, Issue 1
Fermi-Bose Transmutations Induced by Gauge Fields
journal, February 1988
- Polyakov, A. M.
- Modern Physics Letters A, Vol. 03, Issue 03
Physics of Three-Dimensional Bosonic Topological Insulators: Surface-Deconfined Criticality and Quantized Magnetoelectric Effect
journal, February 2013
- Vishwanath, Ashvin; Senthil, T.
- Physical Review X, Vol. 3, Issue 1
Explicit Derivation of Duality between a Free Dirac Cone and Quantum Electrodynamics in ( ) Dimensions
journal, June 2016
- Mross, David F.; Alicea, Jason; Motrunich, Olexei I.
- Physical Review Letters, Vol. 117, Issue 1
Correlation functions of large N Chern-Simons-Matter theories and bosonization in three dimensions
journal, December 2012
- Aharony, Ofer; Gur-Ari, Guy; Yacoby, Ran
- Journal of High Energy Physics, Vol. 2012, Issue 12
Dynamics of N = 2 supersymmetric gauge theories in three dimensions
journal, September 1997
- de Boer, Jan; Hori, Kentaro; Oz, Yaron
- Nuclear Physics B, Vol. 500, Issue 1-3
Self-dual quantum electrodynamics as boundary state of the three-dimensional bosonic topological insulator
journal, December 2015
- Xu, Cenke; You, Yi-Zhuang
- Physical Review B, Vol. 92, Issue 22
Mott transition in an anyon gas
journal, November 1993
- Chen, Wei; Fisher, Matthew P. A.; Wu, Yong-Shi
- Physical Review B, Vol. 48, Issue 18
Chern Simons bosonization along RG flows
journal, February 2016
- Minwalla, Shiraz; Yokoyama, Shuichi
- Journal of High Energy Physics, Vol. 2016, Issue 2
The half-filled Landau level: The case for Dirac composite fermions
journal, April 2016
- Geraedts, S. D.; Zaletel, M. P.; Mong, R. S. K.
- Science, Vol. 352, Issue 6282
Dynamics of Script N = 2 supersymmetric Chern-Simons theories
journal, June 2000
- Tong, David
- Journal of High Energy Physics, Vol. 2000, Issue 07
Mirror symmetry in three dimensional gauge theories
journal, October 1996
- Intriligator, K.; Seiberg, N.
- Physics Letters B, Vol. 387, Issue 3
Particle-vortex duality of two-dimensional Dirac fermion from electric-magnetic duality of three-dimensional topological insulators
journal, June 2016
- Metlitski, Max A.; Vishwanath, Ashvin
- Physical Review B, Vol. 93, Issue 24
d = 3 bosonic vector models coupled to Chern-Simons gauge theories
journal, March 2012
- Aharony, Ofer; Gur-Ari, Guy; Yacoby, Ran
- Journal of High Energy Physics, Vol. 2012, Issue 3
Unitarity, crossing symmetry and duality of the S-matrix in large N Chern-Simons theories with fundamental matter
journal, April 2015
- Jain, Sachin; Mandlik, Mangesh; Minwalla, Shiraz
- Journal of High Energy Physics, Vol. 2015, Issue 4
Seiberg-like dualities for 3d $ \mathcal{N}=2 $ theories with SU(N) gauge group
journal, October 2013
- Park, Jaemo; Park, Kyung-Jae
- Journal of High Energy Physics, Vol. 2013, Issue 10
Disorder operators in Chern-Simons-fermion theories
journal, March 2016
- Rađičević, Ðorde
- Journal of High Energy Physics, Vol. 2016, Issue 3
Three dimensional bosonization from supersymmetry
journal, November 2015
- Gur-Ari, Guy; Yacoby, Ran
- Journal of High Energy Physics, Vol. 2015, Issue 11
The fermion-boson mapping in three-dimensional quantum field theory
journal, October 1994
- Fradkin, Eduardo; Schaposnik, Fidel A.
- Physics Letters B, Vol. 338, Issue 2-3
Phase Transition in a Lattice Model of Superconductivity
journal, November 1981
- Dasgupta, C.; Halperin, B. I.
- Physical Review Letters, Vol. 47, Issue 21
Composite-fermion approach for the fractional quantum Hall effect
journal, July 1989
- Jain, J. K.
- Physical Review Letters, Vol. 63, Issue 2
Axial-Anomaly-Induced Fermion Fractionization and Effective Gauge-Theory Actions in Odd-Dimensional Space-Times
journal, December 1983
- Niemi, A. J.; Semenoff, G. W.
- Physical Review Letters, Vol. 51, Issue 23
Dirac monopole without strings: Monopole harmonics
journal, May 1976
- Wu, Tai Tsun; Yang, Chen Ning
- Nuclear Physics B, Vol. 107, Issue 3
Mandelstam-'t Hooft duality in abelian lattice models
journal, July 1978
- Peskin, Michael E.
- Annals of Physics, Vol. 113, Issue 1
Unitarity, crossing symmetry and duality in the scattering of N = 1 $$ \mathcal{N}=1 $$ susy matter Chern-Simons theories
journal, October 2015
- Inbasekar, Karthik; Jain, Sachin; Mazumdar, Subhajit
- Journal of High Energy Physics, Vol. 2015, Issue 10
Seiberg duality in Chern–Simons theory
journal, May 2009
- Giveon, Amit; Kutasov, David
- Nuclear Physics B, Vol. 812, Issue 1-2
Comments on 3d Seiberg-like dualities
journal, October 2011
- Benini, Francesco; Closset, Cyril; Cremonesi, Stefano
- Journal of High Energy Physics, Vol. 2011, Issue 10
On mirror symmetry in three dimensional Abelian gauge theories
journal, April 1999
- Kapustin, Anton; Strassler, Matthew J.
- Journal of High Energy Physics, Vol. 1999, Issue 04