Level/rank duality and Chern-Simons-matter theories

Hsin, Po-Shen; Seiberg, Nathan

doi:10.1007/JHEP09(2016)095

Title: Level/rank duality and Chern-Simons-matter theories

Abstract

We discuss in detail level/rank duality in three-dimensional Chern-Simons theories and various related dualities in three-dimensional Chern-Simons-matter theories. We couple the dual Lagrangians to appropriate background fields (including gauge fields, spin c connections and the metric). The non-trivial maps between the currents and the line operators in the dual theories is accounted for by mixing of these fields. In order for the duality to be valid we must add finite counterterms depending on these background fields. This analysis allows us to resolve a number of puzzles with these dualities, to provide derivations of some of them, and to find new consistency conditions and relations between them. In addition, we find new level/rank dualities of topological Chern-Simons theories and new dualities of Chern-Simons-matter theories, including new boson/boson and fermion/fermion dualities.

Authors:

Hsin, Po-Shen ^[1]; Seiberg, Nathan ^[1]

Princeton Univ., NJ (United States)

Publication Date:: Fri Sep 16 00:00:00 EDT 2016

Research Org.:: Princeton Univ., NJ (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1434620

Grant/Contract Number:: SC0009988

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: 2016; Journal Issue: 9; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Chern-Simons Theories; Duality in Gauge Field Theories; Nonperturbative Effects; Topological Field Theories

Citation Formats


                    Hsin, Po-Shen, and Seiberg, Nathan. Level/rank duality and Chern-Simons-matter theories.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP09(2016)095.

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                    Hsin, Po-Shen, & Seiberg, Nathan. Level/rank duality and Chern-Simons-matter theories.  United States.  https://doi.org/10.1007/JHEP09(2016)095

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                    Hsin, Po-Shen, and Seiberg, Nathan. Fri .  
"Level/rank duality and Chern-Simons-matter theories".  United States.  https://doi.org/10.1007/JHEP09(2016)095.  https://www.osti.gov/servlets/purl/1434620.

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@article{osti_1434620,

  title        = {Level/rank duality and Chern-Simons-matter theories},

  author       = {Hsin, Po-Shen and Seiberg, Nathan},

  abstractNote = {We discuss in detail level/rank duality in three-dimensional Chern-Simons theories and various related dualities in three-dimensional Chern-Simons-matter theories. We couple the dual Lagrangians to appropriate background fields (including gauge fields, spin c connections and the metric). The non-trivial maps between the currents and the line operators in the dual theories is accounted for by mixing of these fields. In order for the duality to be valid we must add finite counterterms depending on these background fields. This analysis allows us to resolve a number of puzzles with these dualities, to provide derivations of some of them, and to find new consistency conditions and relations between them. In addition, we find new level/rank dualities of topological Chern-Simons theories and new dualities of Chern-Simons-matter theories, including new boson/boson and fermion/fermion dualities.},

  doi          = {10.1007/JHEP09(2016)095},

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

  number       = 9,

  volume       = 2016,

  place        = {United States},

  year         = {Fri Sep 16 00:00:00 EDT 2016},

  month        = {Fri Sep 16 00:00:00 EDT 2016}

}

Copy to clipboard

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DOI: 10.48550/arxiv.1905.09315

Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
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Cordova, Clay; Freed, Daniel S.; Lam, Ho Tat
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New and Old Fermionic Dualities from 3d Bosonization
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arXiv
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Similar Records

Title: Level/rank duality and Chern-Simons-matter theories

Abstract

Citation Formats

Virasoro algebras and coset space models journal, February 1985

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

Strange duality revisited journal, January 2014

Self-dual quantum electrodynamics as boundary state of the three-dimensional bosonic topological insulator journal, December 2015

Aspects of N = 2 supersymmetric gauge theories in three dimensions journal, August 1997

Competing orders, nonlinear sigma models, and topological terms in quantum magnets journal, August 2006

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

D-brane charges in five-brane backgrounds journal, October 2001

Mirror symmetry in three dimensional gauge theories journal, October 1996

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

Anomalies and odd dimensions journal, September 1985

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

Generalized global symmetries journal, February 2015

Disorder operators in Chern-Simons-fermion theories journal, March 2016

Three dimensional bosonization from supersymmetry journal, November 2015

Fermion path integrals and topological phases journal, July 2016

Mirror symmetry and the half-filled Landau level journal, December 2015

Level-rank duality of the U( N ) WZW model, Chern-Simons theory, and 2d qYM theory journal, June 2007

Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model journal, November 2013

Taming the conformal zoo journal, April 1989

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

Level-Rank Duality via Tensor Categories journal, January 2014

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

Coupling a QFT to a TQFT and duality journal, April 2014

Algebraic Coset Conformal Field Theories journal, April 2000

Seiberg duality in Chern–Simons theory journal, May 2009

Comments on 3d Seiberg-like dualities journal, October 2011

Comments on 3d Seiberg-like dualities text, January 2011

Strange duality revisited preprint, January 2012

Comments on Chern-Simons Contact Terms in Three Dimensions text, January 2012

3d dualities from 4d dualities text, January 2013

Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model text, January 2013

Mirror symmetry and the half-filled Landau level text, January 2015

Three Dimensional Bosonization From Supersymmetry preprint, January 2015

Fermion Path Integrals And Topological Phases text, January 2015

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

Mirror Symmetry in Three Dimensional Gauge Theories text, January 1996

Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions text, January 1997

More Abelian dualities in 2 + 1 dimensions journal, January 2017

A master bosonization duality journal, January 2018

Metastable vacua in large-N QCD3 journal, January 2020

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

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

On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit journal, February 2018

3d Abelian dualities with boundaries journal, March 2018

Master 3d bosonization duality with boundaries journal, May 2018

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

Phases of N = 1 $$ \mathcal{N}=1 $$ theories in 2 + 1 dimensions journal, July 2018

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

QCD3 dualities and the F-theorem journal, August 2018

Charting the phase diagram of QCD3 journal, August 2019

QCD domain walls, Chern-Simons theories and holography journal, September 2018

Phases of U (Nc) QCD3 from type 0 strings and Seiberg duality journal, September 2019

Dualities and phases of 3d N = 1 $$ \mathcal{N}=1 $$ SQCD journal, October 2018

Phases of flavor broken QCD3 journal, October 2019

Bosonizing three-dimensional quiver gauge theories journal, November 2017

Seifert fibering operators in 3d N = 2 $$ \mathcal{N}=2 $$ theories journal, November 2018

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

N $$ \mathcal{N} $$ = 1 dualities in 2+1 dimensions journal, November 2018

Non-abelian 3D bosonization and quantum Hall states journal, December 2016

Embedding three-dimensional bosonization dualities into string theory journal, December 2017

Enhanced thermal Hall effect in the square-lattice Néel state journal, October 2019

Landau-Ginzburg theories of non-Abelian quantum Hall states from non-Abelian bosonization journal, September 2019

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

Critical behavior of the QED 3 -Gross-Neveu model: Duality and deconfined criticality journal, November 2017

Deconfined quantum critical point on the triangular lattice journal, May 2018

Conformality loss and quantum criticality in topological Higgs electrodynamics in 2 + 1 dimensions journal, October 2019

Mass-deformed N = 3 supersymmetric Chern-Simons-matter theory journal, October 2019

Baryon as a Quantum Hall Droplet and the Quark-Hadron Duality journal, October 2019

Field-induced QCD 3 -Chern-Simons quantum criticalities in Kitaev materials journal, January 2020

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

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

A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants journal, January 2019

Exceptional Chern-Simons-Matter dualities journal, January 2019

Conformal field theory and the hot phase of three-dimensional U(1) gauge theory text, January 2019

Non-abelian 3$D$ bosonization and quantum Hall states text, January 2016

More Abelian dualities in 2 + 1 dimensions text, January 2017

Virasoro algebras and coset space models
journal, February 1985

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

Strange duality revisited
journal, January 2014

Self-dual quantum electrodynamics as boundary state of the three-dimensional bosonic topological insulator
journal, December 2015

Aspects of N = 2 supersymmetric gauge theories in three dimensions
journal, August 1997

Competing orders, nonlinear sigma models, and topological terms in quantum magnets
journal, August 2006

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

D-brane charges in five-brane backgrounds
journal, October 2001

Mirror symmetry in three dimensional gauge theories
journal, October 1996

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

Anomalies and odd dimensions
journal, September 1985

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

Generalized global symmetries
journal, February 2015

Disorder operators in Chern-Simons-fermion theories
journal, March 2016

Three dimensional bosonization from supersymmetry
journal, November 2015

Fermion path integrals and topological phases
journal, July 2016

Mirror symmetry and the half-filled Landau level
journal, December 2015

Level-rank duality of the U( N ) WZW model, Chern-Simons theory, and 2d qYM theory
journal, June 2007

Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model
journal, November 2013

Taming the conformal zoo
journal, April 1989

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

Level-Rank Duality via Tensor Categories
journal, January 2014

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

Coupling a QFT to a TQFT and duality
journal, April 2014

Algebraic Coset Conformal Field Theories
journal, April 2000

Seiberg duality in Chern–Simons theory
journal, May 2009

Comments on 3d Seiberg-like dualities
journal, October 2011

Comments on 3d Seiberg-like dualities
text, January 2011

Strange duality revisited
preprint, January 2012

Comments on Chern-Simons Contact Terms in Three Dimensions
text, January 2012

3d dualities from 4d dualities
text, January 2013

Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model
text, January 2013

Mirror symmetry and the half-filled Landau level
text, January 2015

Three Dimensional Bosonization From Supersymmetry
preprint, January 2015

Fermion Path Integrals And Topological Phases
text, January 2015

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

Mirror Symmetry in Three Dimensional Gauge Theories
text, January 1996

Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
text, January 1997

More Abelian dualities in 2 + 1 dimensions
journal, January 2017

A master bosonization duality
journal, January 2018

Metastable vacua in large-N QCD3
journal, January 2020

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

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

On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit
journal, February 2018

3d Abelian dualities with boundaries
journal, March 2018

Master 3d bosonization duality with boundaries
journal, May 2018

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

Phases of N = 1 $$ \mathcal{N}=1 $$ theories in 2 + 1 dimensions
journal, July 2018

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

QCD3 dualities and the F-theorem
journal, August 2018

Charting the phase diagram of QCD3
journal, August 2019

QCD domain walls, Chern-Simons theories and holography
journal, September 2018

Phases of U (Nc) QCD3 from type 0 strings and Seiberg duality
journal, September 2019

Dualities and phases of 3d N = 1 $$ \mathcal{N}=1 $$ SQCD
journal, October 2018

Phases of flavor broken QCD3
journal, October 2019

Bosonizing three-dimensional quiver gauge theories
journal, November 2017

Seifert fibering operators in 3d N = 2 $$ \mathcal{N}=2 $$ theories
journal, November 2018

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

N $$ \mathcal{N} $$ = 1 dualities in 2+1 dimensions
journal, November 2018

Non-abelian 3D bosonization and quantum Hall states
journal, December 2016

Embedding three-dimensional bosonization dualities into string theory
journal, December 2017

Enhanced thermal Hall effect in the square-lattice Néel state
journal, October 2019

Landau-Ginzburg theories of non-Abelian quantum Hall states from non-Abelian bosonization
journal, September 2019

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

Critical behavior of the ${QED}_{3}$ -Gross-Neveu model: Duality and deconfined criticality
journal, November 2017

Deconfined quantum critical point on the triangular lattice
journal, May 2018

Conformality loss and quantum criticality in topological Higgs electrodynamics in $2 + 1$ dimensions
journal, October 2019

Mass-deformed $N = 3$ supersymmetric Chern-Simons-matter theory
journal, October 2019

Baryon as a Quantum Hall Droplet and the Quark-Hadron Duality
journal, October 2019

Field-induced ${QCD}_{3}$ -Chern-Simons quantum criticalities in Kitaev materials
journal, January 2020

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

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

A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants
journal, January 2019

Exceptional Chern-Simons-Matter dualities
journal, January 2019

Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
text, January 2019

Non-abelian 3$D$ bosonization and quantum Hall states
text, January 2016

More Abelian dualities in 2 + 1 dimensions
text, January 2017

Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
text, January 2019

Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
journal, May 2019

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