Holographic Chern-Simons defects

Fujita, Mitsutoshi; Melby-Thompson, Charles M.; Meyer, René; Sugimoto, Shigeki

doi:10.1007/JHEP06(2016)163

Title: Holographic Chern-Simons defects

Abstract

Here, we study SU(N ) Yang-Mills-Chern-Simons theory in the presence of defects that shift the Chern-Simons level from a holographic point of view by embedding the system in string theory. The model is a D3-D7 system in Type IIB string theory, whose gravity dual is given by the AdS soliton background with probe D7 branes attaching to the AdS boundary along the defects. We holographically renormalize the free energy of the defect system with sources, from which we obtain the correlation functions for certain operators naturally associated to these defects. We find interesting phase transitions when the separation of the defects as well as the temperature are varied. We also discuss some implications for the Fractional Quantum Hall Effect and for 2-dimensional QCD.

Authors:

Fujita, Mitsutoshi ^[1]; Melby-Thompson, Charles M. ^[2]; Meyer, René ^[3]; Sugimoto, Shigeki ^[4]

Univ. of Kentucky, Lexington, KY (United States); Kyoto Univ., Kyoto (Japan)
Fudan Univ., Shanghai (China); The Univ. of Tokyo , Kashiwa (Japan)
Stony Brook Univ., Stony Brook, NY (United States); The Univ. of Tokyo, Kashiwa (Japan)
Kyoto Univ., Kyoto (Japan); The Univ. of Tokyo, Kashiwa (Japan)

Publication Date:: Tue Jun 28 00:00:00 EDT 2016

Research Org.:: State Univ. of New York (SUNY), Albany, NY (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1326953

Grant/Contract Number:: FG02-88ER40388

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: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AdS-CFT Correspondence; Chern-Simons Theories; holography and condensed matter physics (AdS/CMT)

Citation Formats


                    Fujita, Mitsutoshi, Melby-Thompson, Charles M., Meyer, René, and Sugimoto, Shigeki. Holographic Chern-Simons defects.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP06(2016)163.

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                    Fujita, Mitsutoshi, Melby-Thompson, Charles M., Meyer, René, & Sugimoto, Shigeki. Holographic Chern-Simons defects.  United States.  https://doi.org/10.1007/JHEP06(2016)163

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                    Fujita, Mitsutoshi, Melby-Thompson, Charles M., Meyer, René, and Sugimoto, Shigeki. Tue .  
"Holographic Chern-Simons defects".  United States.  https://doi.org/10.1007/JHEP06(2016)163.  https://www.osti.gov/servlets/purl/1326953.

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@article{osti_1326953,

  title        = {Holographic Chern-Simons defects},

  author       = {Fujita, Mitsutoshi and Melby-Thompson, Charles M. and Meyer, René and Sugimoto, Shigeki},

  abstractNote = {Here, we study SU(N ) Yang-Mills-Chern-Simons theory in the presence of defects that shift the Chern-Simons level from a holographic point of view by embedding the system in string theory. The model is a D3-D7 system in Type IIB string theory, whose gravity dual is given by the AdS soliton background with probe D7 branes attaching to the AdS boundary along the defects. We holographically renormalize the free energy of the defect system with sources, from which we obtain the correlation functions for certain operators naturally associated to these defects. We find interesting phase transitions when the separation of the defects as well as the temperature are varied. We also discuss some implications for the Fractional Quantum Hall Effect and for 2-dimensional QCD.},

  doi          = {10.1007/JHEP06(2016)163},

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

  number       = 6,

  volume       = 2016,

  place        = {United States},

  year         = {Tue Jun 28 00:00:00 EDT 2016},

  month        = {Tue Jun 28 00:00:00 EDT 2016}

}

Copy to clipboard

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Title: Holographic Chern-Simons defects

Abstract

Citation Formats

Topologically massive gauge theories journal, May 1982

Quantum field theory and the Jones polynomial journal, September 1989

Effective-Field-Theory Model for the Fractional Quantum Hall Effect journal, January 1989

Collective excitations in the Ginzburg-Landau theory of the fractional quantum Hall effect journal, March 1991

The Chern–Simons–Landau–Ginzburg Theory of the Fractional Quantum hall Effect journal, January 1992

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

The large N limit of Chern-Simons gauge theory journal, September 1990

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

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

Fractional M2-branes journal, November 2008

Seiberg duality in Chern–Simons theory journal, May 2009

Seiberg duality in Chern-Simons theories with fundamental and adjoint matter journal, November 2008

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

IR dualities in general 3d supersymmetric SU(N) QCD theories journal, February 2015

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

Correlators of large N fermionic Chern-Simons vector models journal, February 2013

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

Phases of large N vector Chern-Simons theories on S 2 × S 1 journal, September 2013

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

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

Defects in Chern-Simons theory, gauged WZW models on the brane, and level-rank duality journal, July 2015

A two-dimensional model for mesons journal, June 1974

Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy journal, June 2009

Topological Entanglement Entropy journal, March 2006

Detecting Topological Order in a Ground State Wave Function journal, March 2006

Topological entanglement entropy in Chern-Simons theories and quantum Hall fluids journal, May 2008

A Chern-Simons effective field theory for the Pfaffian quantum Hall state journal, April 1998

Paired Hall states journal, May 1992

Nonabelions in the fractional quantum hall effect journal, August 1991

Edge excitations of paired fractional quantum Hall states journal, May 1996

Gauge invariant variables and the Yang–Mills–Chern–Simons theory journal, January 2000

Anti-de Sitter space, thermal phase transition, and confinement in gauge theories journal, January 1998

Wilson loops, confinement, and phase transitions in large N gauge theories from supergravity journal, June 1998

Anti de Sitter space and holography journal, January 1998

Anti-de Sitter space and the center of the gauge group journal, November 1998

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

SU ( N ) gauge theories in 2+1 dimensions journal, December 1998

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings journal, April 2008

Holographic gauge theories in background fields and surface operators journal, December 2007

Gauge/gravity duality with a chiral 𝒩 = (0, 8) string defect journal, August 2008

Low Energy Hadron Physics in Holographic QCD journal, April 2005

Holographic two dimensional QCD and Chern-Simons term journal, July 2011

Adding flavor to AdS/CFT journal, June 2002

Large N field theories, string theory and gravity journal, January 2000

Gauge theory correlators from non-critical string theory journal, May 1998

Lecture notes on holographic renormalization journal, November 2002

Remarks on the canonical quantization of the Chern-Simons-Witten theory journal, October 1989

Stringy NJL and Gross-Neveu models at finite density and temperature journal, October 2007

Chiral anomalies and AdS/CMT in two dimensions journal, January 2011

Consistent and covariant anomalies in gauge and gravitational theories journal, October 1984

There are no Goldstone bosons in two dimensions journal, December 1973

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal, May 2006

Aspects of holographic entanglement entropy journal, August 2006

AdS bubbles, entropy and closed string tachyons journal, January 2007

Entanglement as a probe of confinement journal, June 2008

Holographic entanglement entropy of multiple strips journal, November 2014

Quark mass deformation of holographic massless QCD journal, July 2008

On quark masses in holographic QCD journal, November 2008

Towards a holographic dual of large- N c QCD journal, May 2004

A holographic model of deconfinement and chiral symmetry restoration journal, June 2007

Holographic anyonic superfluidity journal, October 2013

A holographic model for the fractional quantum Hall effect journal, January 2015

Edge transport properties of the fractional quantum Hall states and weak-impurity scattering of a one-dimensional charge-density wave journal, September 1991

Transport in a one-channel Luttinger liquid journal, February 1992

Topological order and edge structure of ν=1/2 quantum Hall state journal, January 1993

Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity journal, November 2001

Wilson Loops in Large N Field Theories journal, June 1998

Effective hopping in holographic Bose and Fermi-Hubbard models journal, January 2019

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

Topologically massive gauge theories
journal, May 1982

Quantum field theory and the Jones polynomial
journal, September 1989

Effective-Field-Theory Model for the Fractional Quantum Hall Effect
journal, January 1989

Collective excitations in the Ginzburg-Landau theory of the fractional quantum Hall effect
journal, March 1991

The Chern–Simons–Landau–Ginzburg Theory of the Fractional Quantum hall Effect
journal, January 1992

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

The large N limit of Chern-Simons gauge theory
journal, September 1990

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

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

Fractional M2-branes
journal, November 2008

Seiberg duality in Chern–Simons theory
journal, May 2009

Seiberg duality in Chern-Simons theories with fundamental and adjoint matter
journal, November 2008

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

IR dualities in general 3d supersymmetric SU(N) QCD theories
journal, February 2015

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

Correlators of large N fermionic Chern-Simons vector models
journal, February 2013

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

Phases of large N vector Chern-Simons theories on S 2 × S 1
journal, September 2013

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

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

Defects in Chern-Simons theory, gauged WZW models on the brane, and level-rank duality
journal, July 2015

A two-dimensional model for mesons
journal, June 1974

Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy
journal, June 2009

Topological Entanglement Entropy
journal, March 2006

Detecting Topological Order in a Ground State Wave Function
journal, March 2006

Topological entanglement entropy in Chern-Simons theories and quantum Hall fluids
journal, May 2008

A Chern-Simons effective field theory for the Pfaffian quantum Hall state
journal, April 1998

Paired Hall states
journal, May 1992

Nonabelions in the fractional quantum hall effect
journal, August 1991

Edge excitations of paired fractional quantum Hall states
journal, May 1996

Gauge invariant variables and the Yang–Mills–Chern–Simons theory
journal, January 2000

Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
journal, January 1998

Wilson loops, confinement, and phase transitions in large N gauge theories from supergravity
journal, June 1998

Anti de Sitter space and holography
journal, January 1998

Anti-de Sitter space and the center of the gauge group
journal, November 1998

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

$SU (N)$ gauge theories in 2+1 dimensions
journal, December 1998

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings
journal, April 2008

Holographic gauge theories in background fields and surface operators
journal, December 2007

Gauge/gravity duality with a chiral 𝒩 = (0, 8) string defect
journal, August 2008

Low Energy Hadron Physics in Holographic QCD
journal, April 2005

Holographic two dimensional QCD and Chern-Simons term
journal, July 2011

Adding flavor to AdS/CFT
journal, June 2002

Large N field theories, string theory and gravity
journal, January 2000

Gauge theory correlators from non-critical string theory
journal, May 1998

Lecture notes on holographic renormalization
journal, November 2002

Remarks on the canonical quantization of the Chern-Simons-Witten theory
journal, October 1989

Stringy NJL and Gross-Neveu models at finite density and temperature
journal, October 2007

Chiral anomalies and AdS/CMT in two dimensions
journal, January 2011

Consistent and covariant anomalies in gauge and gravitational theories
journal, October 1984

There are no Goldstone bosons in two dimensions
journal, December 1973

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006

Aspects of holographic entanglement entropy
journal, August 2006

AdS bubbles, entropy and closed string tachyons
journal, January 2007

Entanglement as a probe of confinement
journal, June 2008

Holographic entanglement entropy of multiple strips
journal, November 2014

Quark mass deformation of holographic massless QCD
journal, July 2008

On quark masses in holographic QCD
journal, November 2008

Towards a holographic dual of large- N _c QCD
journal, May 2004

A holographic model of deconfinement and chiral symmetry restoration
journal, June 2007

Holographic anyonic superfluidity
journal, October 2013

A holographic model for the fractional quantum Hall effect
journal, January 2015

Edge transport properties of the fractional quantum Hall states and weak-impurity scattering of a one-dimensional charge-density wave
journal, September 1991

Transport in a one-channel Luttinger liquid
journal, February 1992

Topological order and edge structure of ν=1/2 quantum Hall state
journal, January 1993

Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
journal, November 2001

Wilson Loops in Large $N$ Field Theories
journal, June 1998

Effective hopping in holographic Bose and Fermi-Hubbard models
journal, January 2019

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