Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography

Grozdanov, Sašo; Poovuttikul, Napat

doi:10.1103/PhysRevD.97.106005

Title: Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography

Abstract

In this work, we show how states with conserved numbers of dynamical defects (strings, domain walls, etc.) can be understood as possessing generalized global symmetries even when the microscopic origins of these symmetries are unknown. Using this philosophy, we build an effective theory of a 2 + 1 -dimensional fluid state with two perpendicular sets of immersed elastic line defects. When the number of defects is independently conserved in each set, then the state possesses two one-form symmetries. Normally, such viscoelastic states are described as fluids coupled to Goldstone bosons associated with spontaneous breaking of translational symmetry caused by the underlying microscopic structure—the principle feature of which is a transverse sound mode. At the linear, nondissipative level, we verify that our theory, based entirely on symmetry principles, is equivalent to a viscoelastic theory. We then build a simple holographic dual of such a state containing dynamical gravity and two two-form gauge fields, and use it to study its hydrodynamic and higher-energy spectral properties characterized by nonhydrodynamic, gapped modes. Based on the holographic analysis of transverse two-point functions, we study consistency between low-energy predictions of the bulk theory and the effective boundary theory. Various new features of the holographic dictionary aremore »« less

Authors:: Grozdanov, Sašo; Poovuttikul, Napat

Publication Date:: 2018-05-11

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1436898

Alternate Identifier(s):: OSTI ID: 1498825

Grant/Contract Number:: SC0011090; sc0011090

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 10; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Grozdanov, Sašo, and Poovuttikul, Napat. Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography.  United States: N. p., 2018. 
Web.  https://doi.org/10.1103/PhysRevD.97.106005.

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                    Grozdanov, Sašo, & Poovuttikul, Napat. Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography.  United States.  https://doi.org/10.1103/PhysRevD.97.106005

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                    Grozdanov, Sašo, and Poovuttikul, Napat. Fri .  
"Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography".  United States.  https://doi.org/10.1103/PhysRevD.97.106005.

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@article{osti_1436898,

  title        = {Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography},

  author       = {Grozdanov, Sašo and Poovuttikul, Napat},

  abstractNote = {In this work, we show how states with conserved numbers of dynamical defects (strings, domain walls, etc.) can be understood as possessing generalized global symmetries even when the microscopic origins of these symmetries are unknown. Using this philosophy, we build an effective theory of a 2 + 1 -dimensional fluid state with two perpendicular sets of immersed elastic line defects. When the number of defects is independently conserved in each set, then the state possesses two one-form symmetries. Normally, such viscoelastic states are described as fluids coupled to Goldstone bosons associated with spontaneous breaking of translational symmetry caused by the underlying microscopic structure—the principle feature of which is a transverse sound mode. At the linear, nondissipative level, we verify that our theory, based entirely on symmetry principles, is equivalent to a viscoelastic theory. We then build a simple holographic dual of such a state containing dynamical gravity and two two-form gauge fields, and use it to study its hydrodynamic and higher-energy spectral properties characterized by nonhydrodynamic, gapped modes. Based on the holographic analysis of transverse two-point functions, we study consistency between low-energy predictions of the bulk theory and the effective boundary theory. Various new features of the holographic dictionary are explained in theories with higher-form symmetries, such as the mixed-boundary-condition modification of the quasinormal mode prescription that depends on the running coupling of the boundary double-trace deformations. Furthermore, we examine details of low- and high-energy parts of the spectrum that depend on temperature, line defect densities and the renormalization group scale.},

  doi          = {10.1103/PhysRevD.97.106005},

  journal      = {Physical Review D},

  number       = 10,

  volume       = 97,

  place        = {United States},

  year         = {2018},

  month        = {5}

}

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Holography and hydrodynamics with weakly broken symmetries

Journal Article Grozdanov, Sašo ; Lucas, Andrew ; Poovuttikul, Napat - Physical Review D

Hydrodynamics is a theory of long-range excitations controlled by equations of motion that encode the conservation of a set of currents (energy, momentum, charge, etc.) associated with explicitly realized global symmetries. If a system possesses additional weakly broken symmetries, the low-energy hydrodynamic degrees of freedom also couple to a few other “approximately conserved” quantities with parametrically long relaxation times. It is often useful to consider such approximately conserved operators and corresponding new massive modes within the low-energy effective theory, which we refer to as quasihydrodynamics. Examples of quasihydrodynamics are numerous, with the most transparent among them hydrodynamics with weakly brokenmore »« less
Cited by 15
https://doi.org/10.1103/PhysRevD.99.086012
Quasinormal modes and holography

Journal Article Kovtun, Pavel K ; Starinets, Andrei O ; Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5 - Physical Review. D, Particles Fields

Quasinormal frequencies of electromagnetic and gravitational perturbations in asymptotically anti-de Sitter spacetime can be identified with poles of the corresponding real-time Green's functions in a holographically dual finite temperature field theory. The quasinormal modes are defined for gauge-invariant quantities which obey an incoming-wave boundary condition at the horizon and a Dirichlet condition at the boundary. As an application, we explicitly find poles of retarded correlation functions of R-symmetry currents and the energy-momentum tensor in strongly coupled finite temperature N=4 supersymmetric SU(N{sub c}) Yang-Mills theory in the limit of large N{sub c}.
https://doi.org/10.1103/PhysRevD.72.086009
Towards the gravity dual of quarkonium in the strongly coupled QCD plasma

Journal Article Grigoryan, Hovhannes R ; Hohler, Paul M ; Stephanov, Mikhail A ; ... - Physical Review. D, Particles Fields

We build a 'bottom-up' holographic model of charmonium by matching the essential spectral data. We argue that these data must include not only the masses but also the decay constants of the J/{psi} and {psi}{sup '} mesons. Relative to the 'soft-wall' models for light mesons, such a matching requires two new features in the holographic potential: an overall upward shift as well as a narrow 'dip' near the holographic boundary. We calculate the spectral function as well as the position of the complex singularities (quasinormal frequencies) of the retarded correlator of the charm current at finite temperatures. We further extendmore »« less
https://doi.org/10.1103/PHYSREVD.82.026005
Towards the gravity dual of quarkonium in strongly coupled QCD plasma.

Journal Article Grigoryan, H R ; Hohler, P M ; Stephanov, M A ; ... - Phys. Rev. D

We build a 'bottom-up' holographic model of charmonium by matching the essential spectral data. We argue that these data must include not only the masses but also the decay constants of the J/{psi} and {psi}{prime} mesons. Relative to the 'soft-wall' models for light mesons, such a matching requires two new features in the holographic potential: an overall upward shift as well as a narrow 'dip' near the holographic boundary. We calculate the spectral function as well as the position of the complex singularities (quasinormal frequencies) of the retarded correlator of the charm current at finite temperatures. We further extend thismore »« less
https://doi.org/10.1103/PhysRevD.82.026005
Dynamical gap and cupratelike physics from holography

Journal Article Edalati, Mohammad ; Leigh, Robert G ; Lo, Ka Wai ; ... - Physical Review. D, Particles Fields

We study the properties of fermion correlators in a boundary theory dual to the Reissner-Nordstroem AdS{sub d+1} background in the presence of a bulk dipole (Pauli) interaction term with strength p. We show that by simply changing the value of the parameter p we can tune continuously from a Fermi liquid (small p), to a marginal-Fermi liquid behavior at a critical value of p, to a generic non-Fermi liquid at intermediate values of p, and finally to a Mott insulator at large values of the bulk Pauli coupling. As all of these phases are seen in the cuprate phase diagram,more »« less
https://doi.org/10.1103/PHYSREVD.83.046012

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Title: Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography

Abstract

Citation Formats

Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields journal, September 2016

Wess-Zumino Terms for Relativistic Fluids, Superfluids, Solids, and Supersolids journal, March 2015

Relativistic viscous hydrodynamics, conformal invariance, and holography journal, April 2008

Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes journal, September 2014

Holographic isotropisation in Gauss-Bonnet gravity journal, February 2017

Lectures on the functional renormalization group method journal, January 2003

A holographic perspective on phonons and pseudo-phonons journal, May 2017

Constraints on fluid dynamics from equilibrium partition functions journal, September 2012

Dual strings and magnetohydrodynamics journal, January 1996

Forced fluid dynamics from gravity journal, February 2009

Black hole elasticity and gapped transverse phonons in holography journal, January 2018

Order Out of Disorder in a Gas of Elastic Quantum Strings in 2 + 1 Dimensions journal, January 2000

Holographic pair and charge density waves journal, February 2017

Holographic constraints on Bjorken hydrodynamics at finite coupling journal, October 2017

Expectation Value Formalism in Quantum Field Theory. I journal, January 1963

Relativistic fluids, superfluids, solids, and supersolids from a coset construction journal, February 2014

Navier-Stokes equations on black hole horizons and DC thermoelectric conductivity journal, December 2015

Effective holographic theory of charge density waves journal, April 2018

Generalized global symmetries journal, February 2015

Thermoelectric DC conductivities and Stokes flows on black hole horizons journal, October 2015

Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion journal, April 2012

Relativistic magnetohydrodynamics journal, May 2017

Analytic continuation of functional renormalization group equations journal, May 2012

Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions journal, July 2017

Conformal solids and holography journal, December 2017

Electronic liquid-crystal phases of a doped Mott insulator journal, June 1998

Dynamics of the electric current in an ideal electron gas: A sound mode inside the quasiparticles journal, September 2015

Relativistic dissipative hydrodynamics with spontaneous symmetry breaking journal, January 2003

Lectures on hydrodynamic fluctuations in relativistic theories journal, November 2012

Hydrodynamics of cold holographic matter journal, June 2013

Incoherent thermal transport from dirty black holes journal, March 2016

Ideal relativistic fluid limit for a medium with polarization journal, September 2017

Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT journal, May 2007

AdS2 holographic dictionary journal, December 2016

Holography and the sound of criticality journal, October 2010

Bad Metals from Fluctuating Density Waves journal, January 2017

Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence journal, March 2001

Quasinormal modes and holography journal, October 2005

Black holes dual to helical current phases journal, September 2012

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

Holographic charge density waves journal, June 2013

Diffusion for holographic lattices journal, March 2018

Erratum to: AdS2 holographic dictionary journal, January 2017

Towards Hydrodynamics without an Entropy Current journal, September 2012

Magnetotransport from the fluid/gravity correspondence journal, October 2015

Sufficient symmetry conditions for Topological Quantum Order journal, September 2009

Hydrodynamic equations and correlation functions journal, October 1963

Shaping black holes with free fields journal, May 2012

Black hole thermodynamics from a variational principle: asymptotically conical backgrounds journal, March 2016

Hydrodynamics of Relativistic Systems with Broken Continuous Symmetries journal, September 2001

A simple holographic model of momentum relaxation journal, May 2014

A theory of first order dissipative superfluid dynamics journal, May 2014

Generalized global symmetries and dissipative magnetohydrodynamics journal, May 2017

Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid journal, March 2017

Pinning of longitudinal phonons in holographic spontaneous helices journal, February 2018

Shear viscosity in holography and effective theory of transport without translational symmetry journal, November 2016

Kubo formulas for relativistic fluids in strong magnetic fields journal, December 2011

Real-time gauge/gravity duality: prescription, renormalization and examples journal, May 2009

Dual gauge field theory of quantum liquid crystals in two dimensions journal, April 2017

Unified Hydrodynamic Theory for Crystals, Liquid Crystals, and Normal Fluids journal, December 1972

Wilsonian renormalisation and the exact cut-off scale from holographic duality journal, June 2012

Real-Time Gauge/Gravity Duality journal, August 2008

Solid inflation journal, October 2013

Holographic Stripes journal, May 2013

Relativistic viscous fluid dynamics and non-equilibrium entropy journal, December 2009

Theory of hydrodynamic transport in fluctuating electronic charge density wave states journal, November 2017

Thermodynamics of polarized relativistic matter journal, July 2016

`Double-trace' deformations, boundary conditions and spacetime singularities journal, May 2002

Holographic endpoint of spatially modulated phase transition journal, December 2010

Gas of elastic quantum strings in 2 + 1 dimensions: Finite temperatures journal, August 2001

Multiple Production of Photons in Quantum Electrodynamics journal, April 1962

Dissipative string fluids journal, February 2015

Black branes dual to striped phases journal, July 2013

Brownian Motion of a Quantum Oscillator journal, May 1961

Solid holography and massive gravity journal, February 2016

Holographic striped phases journal, August 2011

Holographic Phonons journal, April 2018

Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields
journal, September 2016

Wess-Zumino Terms for Relativistic Fluids, Superfluids, Solids, and Supersolids
journal, March 2015

Relativistic viscous hydrodynamics, conformal invariance, and holography
journal, April 2008

Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
journal, September 2014

Holographic isotropisation in Gauss-Bonnet gravity
journal, February 2017

Lectures on the functional renormalization group method
journal, January 2003

A holographic perspective on phonons and pseudo-phonons
journal, May 2017

Constraints on fluid dynamics from equilibrium partition functions
journal, September 2012

Dual strings and magnetohydrodynamics
journal, January 1996

Forced fluid dynamics from gravity
journal, February 2009

Black hole elasticity and gapped transverse phonons in holography
journal, January 2018

Order Out of Disorder in a Gas of Elastic Quantum Strings in $2 + 1$ Dimensions
journal, January 2000

Holographic pair and charge density waves
journal, February 2017

Holographic constraints on Bjorken hydrodynamics at finite coupling
journal, October 2017

Expectation Value Formalism in Quantum Field Theory. I
journal, January 1963

Relativistic fluids, superfluids, solids, and supersolids from a coset construction
journal, February 2014

Navier-Stokes equations on black hole horizons and DC thermoelectric conductivity
journal, December 2015

Effective holographic theory of charge density waves
journal, April 2018

Generalized global symmetries
journal, February 2015

Thermoelectric DC conductivities and Stokes flows on black hole horizons
journal, October 2015

Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion
journal, April 2012

Relativistic magnetohydrodynamics
journal, May 2017

Analytic continuation of functional renormalization group equations
journal, May 2012

Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions
journal, July 2017

Conformal solids and holography
journal, December 2017

Electronic liquid-crystal phases of a doped Mott insulator
journal, June 1998

Dynamics of the electric current in an ideal electron gas: A sound mode inside the quasiparticles
journal, September 2015

Relativistic dissipative hydrodynamics with spontaneous symmetry breaking
journal, January 2003

Lectures on hydrodynamic fluctuations in relativistic theories
journal, November 2012

Hydrodynamics of cold holographic matter
journal, June 2013

Incoherent thermal transport from dirty black holes
journal, March 2016

Ideal relativistic fluid limit for a medium with polarization
journal, September 2017

Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT
journal, May 2007

AdS2 holographic dictionary
journal, December 2016

Holography and the sound of criticality
journal, October 2010

Bad Metals from Fluctuating Density Waves
journal, January 2017

Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
journal, March 2001

Quasinormal modes and holography
journal, October 2005

Black holes dual to helical current phases
journal, September 2012

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

Holographic charge density waves
journal, June 2013

Diffusion for holographic lattices
journal, March 2018

Erratum to: AdS2 holographic dictionary
journal, January 2017

Towards Hydrodynamics without an Entropy Current
journal, September 2012

Magnetotransport from the fluid/gravity correspondence
journal, October 2015

Sufficient symmetry conditions for Topological Quantum Order
journal, September 2009

Hydrodynamic equations and correlation functions
journal, October 1963

Shaping black holes with free fields
journal, May 2012

Black hole thermodynamics from a variational principle: asymptotically conical backgrounds
journal, March 2016

Hydrodynamics of Relativistic Systems with Broken Continuous Symmetries
journal, September 2001

A simple holographic model of momentum relaxation
journal, May 2014

A theory of first order dissipative superfluid dynamics
journal, May 2014

Generalized global symmetries and dissipative magnetohydrodynamics
journal, May 2017

Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
journal, March 2017

Pinning of longitudinal phonons in holographic spontaneous helices
journal, February 2018

Shear viscosity in holography and effective theory of transport without translational symmetry
journal, November 2016

Kubo formulas for relativistic fluids in strong magnetic fields
journal, December 2011

Real-time gauge/gravity duality: prescription, renormalization and examples
journal, May 2009

Dual gauge field theory of quantum liquid crystals in two dimensions
journal, April 2017

Unified Hydrodynamic Theory for Crystals, Liquid Crystals, and Normal Fluids
journal, December 1972

Wilsonian renormalisation and the exact cut-off scale from holographic duality
journal, June 2012

Real-Time Gauge/Gravity Duality
journal, August 2008

Solid inflation
journal, October 2013

Holographic Stripes
journal, May 2013

Relativistic viscous fluid dynamics and non-equilibrium entropy
journal, December 2009

Theory of hydrodynamic transport in fluctuating electronic charge density wave states
journal, November 2017

Thermodynamics of polarized relativistic matter
journal, July 2016

`Double-trace' deformations, boundary conditions and spacetime singularities
journal, May 2002

Holographic endpoint of spatially modulated phase transition
journal, December 2010

Gas of elastic quantum strings in $2 + 1$ dimensions: Finite temperatures
journal, August 2001

Multiple Production of Photons in Quantum Electrodynamics
journal, April 1962

Dissipative string fluids
journal, February 2015

Black branes dual to striped phases
journal, July 2013

Brownian Motion of a Quantum Oscillator
journal, May 1961

Solid holography and massive gravity
journal, February 2016

Holographic striped phases
journal, August 2011

Holographic Phonons
journal, April 2018

Absence of Disorder-Driven Metal-Insulator Transitions in Simple Holographic Models
journal, November 2015

Generalized global symmetries and holography
journal, January 2018

Momentum dissipation and effective theories of coherent and incoherent transport
journal, January 2015