Chern-Simons-matter dualities with SO and USp gauge groups

Aharony, Ofer; Benini, Francesco; Hsin, Po -Shen; Seiberg, Nathan

doi:10.1007/JHEP02(2017)072

Title: Chern-Simons-matter dualities with SO and USp gauge groups

Abstract

In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups. In particular, we conjecture dualities between SO(N)k Chern-Simons theories coupled to Nf real scalars in the fundamental representation, and SO(k)-N+Nf /2 theories coupled to Nf real (Majorana) fermions in the fundamental. For Nf = 0 these are just level-rank dualities of pure Chern-Simons theories, whose precise form we clarify. They lead us to propose new gapped boundary states of topological insulators and superconductors. For k = 1 we get an interesting low-energy duality between Nf free Majorana fermions and an SO(N)1 Chern-Simons theory coupled to Nf scalar fields (with Nf ≤ N - 2).

Authors:

Aharony, Ofer ^[1]; Benini, Francesco ^[2]; Hsin, Po -Shen ^[3]; Seiberg, Nathan ^[4]

Weizmann Institute of Science, Rehovot (Israel)
Institute for Advanced Study, Princeton, NJ (United States); Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste (Italy)
Princeton Univ., Princeton, NJ (United States)
Institute for Advanced Study, Princeton, NJ (United States)

Publication Date:: Tue Feb 14 00:00:00 EST 2017

Research Org.:: Princeton Univ., NJ (United States); Weizmann Institute of Science, Rehovot (Israel)

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

OSTI Identifier:: 1356080

Alternate Identifier(s):: OSTI ID: 1358369

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: 2017; Journal Issue: 2; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; group-level duality; mirror symmetry; field-theory; dimensions; models; algebras; matter; chern-simons theories; conformal field theory; duality in gauge field theories; topological states of matter; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Chern-Simons Therories

Citation Formats


                    Aharony, Ofer, Benini, Francesco, Hsin, Po -Shen, and Seiberg, Nathan. Chern-Simons-matter dualities with SO and USp gauge groups.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP02(2017)072.

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                    Aharony, Ofer, Benini, Francesco, Hsin, Po -Shen, & Seiberg, Nathan. Chern-Simons-matter dualities with SO and USp gauge groups.  United States.  https://doi.org/10.1007/JHEP02(2017)072

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                    Aharony, Ofer, Benini, Francesco, Hsin, Po -Shen, and Seiberg, Nathan. Tue .  
"Chern-Simons-matter dualities with SO and USp gauge groups".  United States.  https://doi.org/10.1007/JHEP02(2017)072.  https://www.osti.gov/servlets/purl/1356080.

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@article{osti_1356080,

  title        = {Chern-Simons-matter dualities with SO and USp gauge groups},

  author       = {Aharony, Ofer and Benini, Francesco and Hsin, Po -Shen and Seiberg, Nathan},

  abstractNote = {In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups. In particular, we conjecture dualities between SO(N)k Chern-Simons theories coupled to Nf real scalars in the fundamental representation, and SO(k)-N+Nf /2 theories coupled to Nf real (Majorana) fermions in the fundamental. For Nf = 0 these are just level-rank dualities of pure Chern-Simons theories, whose precise form we clarify. They lead us to propose new gapped boundary states of topological insulators and superconductors. For k = 1 we get an interesting low-energy duality between Nf free Majorana fermions and an SO(N)1 Chern-Simons theory coupled to Nf scalar fields (with Nf ≤ N - 2).},

  doi          = {10.1007/JHEP02(2017)072},

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

  number       = 2,

  volume       = 2017,

  place        = {United States},

  year         = {Tue Feb 14 00:00:00 EST 2017},

  month        = {Tue Feb 14 00:00:00 EST 2017}

}

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Dey, Anshuman; Halder, Indranil; Jain, Sachin
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Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d
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Title: Chern-Simons-matter dualities with SO and USp gauge groups

Abstract

Citation Formats

Mandelstam-'t Hooft duality in abelian lattice models journal, July 1978

Phase Transition in a Lattice Model of Superconductivity journal, November 1981

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

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

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

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

Mirror symmetry in three dimensional gauge theories journal, October 1996

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

Seiberg duality in Chern–Simons theory journal, May 2009

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

On O(N c) d = 3 $ \mathcal{N} = 2 $ supersymmetric QCD theories journal, December 2011

3d dualities from 4d dualities for orthogonal groups journal, August 2013

Three dimensional bosonization from supersymmetry journal, November 2015

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

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

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

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

Nonsupersymmetric Dualities from Mirror Symmetry journal, January 2017

Quantum field theory and the Jones polynomial journal, September 1989

Generalized global symmetries journal, February 2015

Spectral asymmetry and Riemannian Geometry. I journal, January 1975

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

Reading between the lines of four-dimensional gauge theories journal, August 2013

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

AdS dual of the critical O(N) vector model journal, December 2002

Holography in 4D (super) higher spin theories and a test via cubic scalar couplings journal, July 2005

Higher spin realization of the DS/CFT correspondence journal, December 2016

Chern-Simons-Ghost theories and De Sitter space journal, January 2015

Spin module versions of Weyl's reciprocity theorem for classical Kac-Moody Lie algebras---an application to branching rule duality journal, January 1989

Conformal embeddings, rank-level duality and exceptional modular invariants journal, April 1991

Naturality in conformal field theory journal, January 1989

Taming the conformal zoo journal, April 1989

Virasoro algebras and coset space models journal, February 1985

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

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

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

Gapped symmetry preserving surface state for the electron topological insulator journal, September 2013

Symmetry enforced non-Abelian topological order at the surface of a topological insulator journal, April 2014

A time-reversal invariant topological phase at the surface of a 3D topological insulator journal, September 2013

Symmetry-respecting topologically ordered surface phase of three-dimensional electron topological insulators journal, September 2015

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

Anomalies and odd dimensions journal, September 1985

Fermion path integrals and topological phases journal, July 2016

Particle-Vortex Duality from 3D Bosonization text, January 2016

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

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

Reading between the lines of four-dimensional gauge theories text, January 2013

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

Gapped Symmetry Preserving Surface-State for the Electron Topological Insulator text, January 2013

A Time-Reversal Invariant Topological Phase at the Surface of a 3D Topological Insulator text, January 2013

Symmetry Enforced Non-Abelian Topological Order at the Surface of a Topological Insulator text, January 2013

Is the Composite Fermion a Dirac Particle? 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

Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level text, January 2015

Nonsupersymmetric dualities from mirror symmetry text, January 2016

Mirror Symmetry in Three Dimensional Gauge Theories text, January 1996

Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes text, January 1996

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

Metastable vacua in large-N QCD3 journal, January 2020

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

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

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

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

Charting the phase diagram of QCD3 journal, August 2019

Bosonizing three-dimensional quiver gauge theories journal, November 2017

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

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

Mandelstam-'t Hooft duality in abelian lattice models
journal, July 1978

Phase Transition in a Lattice Model of Superconductivity
journal, November 1981

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

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

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

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

Mirror symmetry in three dimensional gauge theories
journal, October 1996

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

Seiberg duality in Chern–Simons theory
journal, May 2009

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

On O(N c) d = 3 $ \mathcal{N} = 2 $ supersymmetric QCD theories
journal, December 2011

3d dualities from 4d dualities for orthogonal groups
journal, August 2013

Three dimensional bosonization from supersymmetry
journal, November 2015

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

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

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

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

Nonsupersymmetric Dualities from Mirror Symmetry
journal, January 2017

Quantum field theory and the Jones polynomial
journal, September 1989

Generalized global symmetries
journal, February 2015

Spectral asymmetry and Riemannian Geometry. I
journal, January 1975

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

Reading between the lines of four-dimensional gauge theories
journal, August 2013

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

AdS dual of the critical O(N) vector model
journal, December 2002

Holography in 4D (super) higher spin theories and a test via cubic scalar couplings
journal, July 2005

Higher spin realization of the DS/CFT correspondence
journal, December 2016

Chern-Simons-Ghost theories and De Sitter space
journal, January 2015

Spin module versions of Weyl's reciprocity theorem for classical Kac-Moody Lie algebras---an application to branching rule duality
journal, January 1989

Conformal embeddings, rank-level duality and exceptional modular invariants
journal, April 1991

Naturality in conformal field theory
journal, January 1989

Taming the conformal zoo
journal, April 1989

Virasoro algebras and coset space models
journal, February 1985

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

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

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

Gapped symmetry preserving surface state for the electron topological insulator
journal, September 2013

Symmetry enforced non-Abelian topological order at the surface of a topological insulator
journal, April 2014

A time-reversal invariant topological phase at the surface of a 3D topological insulator
journal, September 2013

Symmetry-respecting topologically ordered surface phase of three-dimensional electron topological insulators
journal, September 2015

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

Anomalies and odd dimensions
journal, September 1985

Fermion path integrals and topological phases
journal, July 2016

Particle-Vortex Duality from 3D Bosonization
text, January 2016

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

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

Reading between the lines of four-dimensional gauge theories
text, January 2013

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

Gapped Symmetry Preserving Surface-State for the Electron Topological Insulator
text, January 2013

A Time-Reversal Invariant Topological Phase at the Surface of a 3D Topological Insulator
text, January 2013

Symmetry Enforced Non-Abelian Topological Order at the Surface of a Topological Insulator
text, January 2013

Is the Composite Fermion a Dirac Particle?
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

Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level
text, January 2015

Nonsupersymmetric dualities from mirror symmetry
text, January 2016

Mirror Symmetry in Three Dimensional Gauge Theories
text, January 1996

Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
text, January 1996

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

Metastable vacua in large-N QCD3
journal, January 2020

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

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

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

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

Charting the phase diagram of QCD3
journal, August 2019

Bosonizing three-dimensional quiver gauge theories
journal, November 2017

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

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

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

Duality Between 3D Massive Thirring and Maxwell-Chern-Simons Models from 2D Bosonization
journal, July 2018

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