3d Abelian dualities with boundaries

Aitken, Kyle; Baumgartner, Andrew; Karch, Andreas; Robinson, Brandon

doi:10.1007/jhep03(2018)053

Title: 3d Abelian dualities with boundaries

Abstract

We establish the action of three-dimensional bosonization and particle-vortex duality in the presence of a boundary, which supports a non-anomalous two-dimensional theory. We confirm our prescription using a microscopic realization of the duality in terms of a Euclidean lattice.

Authors:

Aitken, Kyle ^[1]; Baumgartner, Andrew ^[1]; Karch, Andreas ^[1]; Robinson, Brandon ^[2]

Univ. of Washington, Seattle (United States)
Univ. of Washington, Seattle (United States); Univ. of Southampton (United Kingdom)

Publication Date:: Fri Mar 09 00:00:00 EST 2018

Research Org.:: Univ. of Washington, Seattle (United States)

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

OSTI Identifier:: 1499275

Alternate Identifier(s):: OSTI ID: 1595210

Grant/Contract Number:: SC0011637

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: 2018; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Aitken, Kyle, Baumgartner, Andrew, Karch, Andreas, and Robinson, Brandon. 3d Abelian dualities with boundaries.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep03(2018)053.

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                    Aitken, Kyle, Baumgartner, Andrew, Karch, Andreas, & Robinson, Brandon. 3d Abelian dualities with boundaries.  United States.  https://doi.org/10.1007/jhep03(2018)053

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                    Aitken, Kyle, Baumgartner, Andrew, Karch, Andreas, and Robinson, Brandon. Fri .  
"3d Abelian dualities with boundaries".  United States.  https://doi.org/10.1007/jhep03(2018)053.  https://www.osti.gov/servlets/purl/1499275.

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@article{osti_1499275,

  title        = {3d Abelian dualities with boundaries},

  author       = {Aitken, Kyle and Baumgartner, Andrew and Karch, Andreas and Robinson, Brandon},

  abstractNote = {We establish the action of three-dimensional bosonization and particle-vortex duality in the presence of a boundary, which supports a non-anomalous two-dimensional theory. We confirm our prescription using a microscopic realization of the duality in terms of a Euclidean lattice.},

  doi          = {10.1007/jhep03(2018)053},

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

  number       = 3,

  volume       = 2018,

  place        = {United States},

  year         = {Fri Mar 09 00:00:00 EST 2018},

  month        = {Fri Mar 09 00:00:00 EST 2018}

}

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Works referenced in this record:

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Works referencing / citing this record:

Phases of flavor broken QCD3
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Strong-weak Chern-Simons-matter dualities from a lattice construction
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Generalization of QCD3 symmetry-breaking and flavored quiver dualities
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Aitken, Kyle; Baumgartner, Andrew; Choi, Changha
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New and old fermionic dualities from 3d bosonization
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Aitken, Kyle; Choi, Changha; Karch, Andreas
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Master 3d Bosonization Duality with Boundaries
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Title: 3d Abelian dualities with boundaries

Abstract

Citation Formats

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

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

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

Fermions on an interval: Quark and lepton masses without a Higgs journal, July 2004

Mott transition in an anyon gas journal, November 1993

On the heat equation and the index theorem journal, October 1975

Eta invariants and manifolds with boundary journal, January 1994

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

Anomalies and fermion zero modes on strings and domain walls journal, January 1985

Chiral fermions from lattice boundaries journal, September 1993

On the Schrödinger functional in QCD journal, June 1994

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

Exact Boson-Fermion Duality on a 3D Euclidean Lattice journal, January 2018

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

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

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

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

A method for simulating chiral fermions on the lattice journal, August 1992

The bootstrap program for boundary CFT d journal, July 2013

On Bose-Fermi Equivalence in a u(1) Gauge Theory with Chern-Simons Action journal, March 1990

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

The fermion-boson mapping in three-dimensional quantum field theory journal, October 1994

Chern-Simons currents and chiral fermions on the lattice journal, March 1993

Fermi-Bose Transmutations Induced by Gauge Fields journal, February 1988

Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids journal, February 2016

Critical momenta of lattice chiral fermions journal, December 1992

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

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

Fermi-Bose Transmutations Induced by Gauge Fields journal, February 1988

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

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

On the heat equation and the index theorem journal, December 1973

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

Gapped boundary phases of topological insulators via weak coupling journal, November 2016

The Bootstrap Program for Boundary CFT_d text, January 2012

Is the Composite Fermion a Dirac Particle? text, January 2015

Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids text, January 2015

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

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

Symmetry and duality in bosonization of two-dimensional Dirac fermions text, January 2017

Exact Boson-Fermion Duality on a 3D Euclidean Lattice text, January 2017

Mott Transition in An Anyon Gas text, January 1993

Critical Momenta of Lattice Chiral Fermions text, January 1992

Chiral Fermions from Lattice Boundaries text, January 1993

The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory text, January 1994

The fermion-boson mapping in three-dimensional quantum field theory journal, October 1994

Critical Momenta of Lattice Chiral Fermions text, January 1992

Phases of flavor broken QCD3 journal, October 2019

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

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

Boundary gauge and gravitational anomalies from Ward identities journal, July 2019

Charting the phase diagram of QCD3 journal, August 2019

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

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

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

Master 3d Bosonization Duality with Boundaries text, January 2018

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

Phases of Flavor Broken QCD$_3$ text, January 2019

New and Old Fermionic Dualities from 3d Bosonization text, January 2019

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

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

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

Fermions on an interval: Quark and lepton masses without a Higgs
journal, July 2004

Mott transition in an anyon gas
journal, November 1993

On the heat equation and the index theorem
journal, October 1975

Eta invariants and manifolds with boundary
journal, January 1994

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

Anomalies and fermion zero modes on strings and domain walls
journal, January 1985

Chiral fermions from lattice boundaries
journal, September 1993

On the Schrödinger functional in QCD
journal, June 1994

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

Exact Boson-Fermion Duality on a 3D Euclidean Lattice
journal, January 2018

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

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

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

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

A method for simulating chiral fermions on the lattice
journal, August 1992

The bootstrap program for boundary CFT d
journal, July 2013

On Bose-Fermi Equivalence in a u(1) Gauge Theory with Chern-Simons Action
journal, March 1990

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

The fermion-boson mapping in three-dimensional quantum field theory
journal, October 1994

Chern-Simons currents and chiral fermions on the lattice
journal, March 1993

Fermi-Bose Transmutations Induced by Gauge Fields
journal, February 1988

Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids
journal, February 2016

Critical momenta of lattice chiral fermions
journal, December 1992

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

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

Fermi-Bose Transmutations Induced by Gauge Fields
journal, February 1988

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

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

On the heat equation and the index theorem
journal, December 1973

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

Gapped boundary phases of topological insulators via weak coupling
journal, November 2016

The Bootstrap Program for Boundary CFT_d
text, January 2012

Is the Composite Fermion a Dirac Particle?
text, January 2015

Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
text, January 2015

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

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

Symmetry and duality in bosonization of two-dimensional Dirac fermions
text, January 2017

Exact Boson-Fermion Duality on a 3D Euclidean Lattice
text, January 2017

Mott Transition in An Anyon Gas
text, January 1993

Critical Momenta of Lattice Chiral Fermions
text, January 1992

Chiral Fermions from Lattice Boundaries
text, January 1993

The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
text, January 1994

The fermion-boson mapping in three-dimensional quantum field theory
journal, October 1994

Critical Momenta of Lattice Chiral Fermions
text, January 1992

Phases of flavor broken QCD3
journal, October 2019

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

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

Boundary gauge and gravitational anomalies from Ward identities
journal, July 2019

Charting the phase diagram of QCD3
journal, August 2019

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

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

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

Master 3d Bosonization Duality with Boundaries
text, January 2018

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

Phases of Flavor Broken QCD$_3$
text, January 2019

New and Old Fermionic Dualities from 3d Bosonization
text, January 2019