Bosonizing three-dimensional quiver gauge theories

Jensen, Kristan; Karch, Andreas

doi:10.1007/jhep11(2017)018

Title: Bosonizing three-dimensional quiver gauge theories

Abstract

We start with the recently conjectured 3d bosonization dualities and gauge global symmetries to generate an infinite sequence of new dualities. These equate theories with non-Abelian product gauge groups and bifundamental matter. We uncover examples of Bose/Bose and Fermi/Fermi dualities, as well as a sequence of dualities between theories with scalar matter in two-index representations. Our conjectures are consistent with level/rank duality in massive phases.

Authors:

Jensen, Kristan ^[1]; Karch, Andreas ^[2]

San Francisco State Univ., CA (United States). Dept Physics & Astronomy
Univ. of Washington, Seattle, WA (United States). Dept. of Physics

Publication Date:: 2017-11-07

Research Org.:: Univ. of Washington, Seattle (United States); San Francisco State Univ., CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1499266

Alternate Identifier(s):: OSTI ID: 1595217

Grant/Contract Number:: SC0011637; SC0013682

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Chern-Simons Theories; Duality in Gauge Field Theories

Citation Formats


                    Jensen, Kristan, and Karch, Andreas. Bosonizing three-dimensional quiver gauge theories.  United States: N. p., 2017. 
Web.  doi:10.1007/jhep11(2017)018.

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                    Jensen, Kristan, & Karch, Andreas. Bosonizing three-dimensional quiver gauge theories.  United States.  https://doi.org/10.1007/jhep11(2017)018

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                    Jensen, Kristan, and Karch, Andreas. Tue .  
"Bosonizing three-dimensional quiver gauge theories".  United States.  https://doi.org/10.1007/jhep11(2017)018.  https://www.osti.gov/servlets/purl/1499266.

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@article{osti_1499266,

  title        = {Bosonizing three-dimensional quiver gauge theories},

  author       = {Jensen, Kristan and Karch, Andreas},

  abstractNote = {We start with the recently conjectured 3d bosonization dualities and gauge global symmetries to generate an infinite sequence of new dualities. These equate theories with non-Abelian product gauge groups and bifundamental matter. We uncover examples of Bose/Bose and Fermi/Fermi dualities, as well as a sequence of dualities between theories with scalar matter in two-index representations. Our conjectures are consistent with level/rank duality in massive phases.},

  doi          = {10.1007/jhep11(2017)018},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 11,

  volume       = 2017,

  place        = {United States},

  year         = {2017},

  month        = {11}

}

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Works referenced in this record:

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Title: Bosonizing three-dimensional quiver gauge theories

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Chern Simons duality with a fundamental boson and fermion journal, November 2013

Baryons, monopoles and dualities in Chern-Simons-matter theories journal, February 2016

Duality and bosonization of ( 2 + 1 ) -dimensional Majorana fermions journal, May 2017

Mirror Symmetry in Three Dimensional Gauge Theories text, January 1996

Nonsupersymmetric dualities from mirror symmetry text, January 2016

Baryons, monopoles and dualities in Chern-Simons-matter theories text, January 2015

The thermal free energy in large N Chern-Simons-matter theories journal, March 2013

Group-level duality in WZW models and Chern-Simons theory journal, August 1990

𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals journal, October 2008

Chern–Simons theory with vector fermion matter journal, August 2012

The Thermal Free Energy in Large N Chern-Simons-Matter Theories text, January 2012

Particle-vortex duality in topological insulators and superconductors journal, May 2017

Correlation functions of large N Chern-Simons-Matter theories and bosonization in three dimensions journal, December 2012

Three Dimensional Bosonization From Supersymmetry preprint, January 2015

Mirror symmetry in three dimensional gauge theories journal, October 1996

Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups text, January 2016

Comments on global symmetries, anomalies, and duality in (2 + 1)d journal, April 2017

Group-level duality of WZW fusion coefficients and Chern-Simons link observables journal, April 1991

Particle-vortex duality of two-dimensional Dirac fermion from electric-magnetic duality of three-dimensional topological insulators journal, June 2016

Particle-vortex duality in topological insulators and superconductors text, January 2016

d = 3 bosonic vector models coupled to Chern-Simons gauge theories journal, March 2012

A duality web in 2 + 1 dimensions and condensed matter physics journal, November 2016

Three dimensional bosonization from supersymmetry journal, November 2015

Level/rank duality and Chern-Simons-matter theories journal, September 2016

Nonsupersymmetric Dualities from Mirror Symmetry journal, January 2017

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals text, January 2008

Level-rank duality of WZW models in conformal field theory journal, February 1992

Seiberg duality in Chern–Simons theory journal, May 2009

Chern-Simons-matter dualities with SO and USp gauge groups journal, February 2017

Particle-Vortex Duality from 3D Bosonization journal, September 2016

Is the Composite Fermion a Dirac Particle? journal, September 2015

Dual Dirac Liquid on the Surface of the Electron Topological Insulator journal, November 2015

Explicit Derivation of Duality between a Free Dirac Cone and Quantum Electrodynamics in ( 2 + 1 ) Dimensions journal, June 2016

Phases Of Adjoint QCD$_3$ And Dualities journal, January 2018

Living on the walls of super-QCD text, January 2018

Dual superconformal symmetry of $$ \mathcal{N} $$ = 2 Chern-Simons theory with fundamental matter at large N journal, June 2019

Three-dimensional dualities with bosons and fermions text, January 2017

Novel 3d bosonic dualities from bosonization and holography journal, September 2018

Dynamics of QCD3 with rank-two quarks and duality journal, March 2020

Generalization of QCD3 symmetry-breaking and flavored quiver dualities journal, February 2020

A master bosonization duality text, January 2017

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A master bosonization duality journal, January 2018

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Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories journal, November 2018

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Baryons, monopoles and dualities in Chern-Simons-matter theories
journal, February 2016

Duality and bosonization of $(2 + 1)$ -dimensional Majorana fermions
journal, May 2017

Mirror Symmetry in Three Dimensional Gauge Theories
text, January 1996

Nonsupersymmetric dualities from mirror symmetry
text, January 2016

Baryons, monopoles and dualities in Chern-Simons-matter theories
text, January 2015

The thermal free energy in large N Chern-Simons-matter theories
journal, March 2013

Group-level duality in WZW models and Chern-Simons theory
journal, August 1990

𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
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The Thermal Free Energy in Large N Chern-Simons-Matter Theories
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Particle-vortex duality in topological insulators and superconductors
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Correlation functions of large N Chern-Simons-Matter theories and bosonization in three dimensions
journal, December 2012

Three Dimensional Bosonization From Supersymmetry
preprint, January 2015

Mirror symmetry in three dimensional gauge theories
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Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
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Comments on global symmetries, anomalies, and duality in (2 + 1)d
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Group-level duality of WZW fusion coefficients and Chern-Simons link observables
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journal, July 2018

Strong-weak Chern-Simons-matter dualities from a lattice construction
journal, August 2018

Living on the walls of super-QCD
journal, January 2019

Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
text, January 2018

Embedding three-dimensional bosonization dualities into string theory
text, January 2017

Master 3d Bosonization Duality with Boundaries
text, January 2018

Charting the phase diagram of QCD3
journal, August 2019

New and old fermionic dualities from 3d bosonization
journal, January 2020

Master 3d bosonization duality with boundaries
journal, May 2018

Three-dimensional dualities with bosons and fermions
journal, February 2018