Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space

Maldacena, Juan; Stanford, Douglas; Yang, Zhenbin

doi:10.1093/ptep/ptw124

Title: Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space

Abstract

We study a two-dimensional dilaton gravity system, recently studied by Almheiri and Polchinski, which describes near-extremal black holes, or more generally, nearly AdS₂ spacetimes. The asymptotic symmetries of AdS₂ are all the time reparametrizations of the boundary. These symmetries are spontaneously broken by the AdS₂ geometry and they are explicitly broken by the small deformation away from AdS₂. This pattern of spontaneous plus explicit symmetry breaking governs the gravitational backreaction of the system. It determines several gravitational properties such as the linear in temperature dependence of the near-extremal entropy as well as the gravitational corrections to correlation functions. These corrections include the ones determining the growth of out-of-time-order correlators that is indicative of chaos. These gravitational aspects can be described in terms of a Schwarzian derivative effective action for a reparametrization.

Authors:

Maldacena, Juan ^[1]; Stanford, Douglas ^[1]; Yang, Zhenbin ^[2]

Inst. for Advanced Study, Princeton, NJ (United States)
Princeton Univ., NJ (United States)

Publication Date:: Wed Nov 09 00:00:00 EST 2016

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1597749

Grant/Contract Number:: SC0009988

Resource Type:: Accepted Manuscript

Journal Name:: Progress of Theoretical and Experimental Physics

Additional Journal Information:: Journal Volume: 2016; Journal Issue: 12; Journal ID: ISSN 2050-3911

Publisher:: Physical Society of Japan

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats


                    Maldacena, Juan, Stanford, Douglas, and Yang, Zhenbin. Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space.  United States: N. p., 2016. 
Web.  doi:10.1093/ptep/ptw124.

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                    Maldacena, Juan, Stanford, Douglas, & Yang, Zhenbin. Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space.  United States.  https://doi.org/10.1093/ptep/ptw124

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                    Maldacena, Juan, Stanford, Douglas, and Yang, Zhenbin. Wed .  
"Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space".  United States.  https://doi.org/10.1093/ptep/ptw124.  https://www.osti.gov/servlets/purl/1597749.

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@article{osti_1597749,

  title        = {Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space},

  author       = {Maldacena, Juan and Stanford, Douglas and Yang, Zhenbin},

  abstractNote = {We study a two-dimensional dilaton gravity system, recently studied by Almheiri and Polchinski, which describes near-extremal black holes, or more generally, nearly AdS2 spacetimes. The asymptotic symmetries of AdS2 are all the time reparametrizations of the boundary. These symmetries are spontaneously broken by the AdS2 geometry and they are explicitly broken by the small deformation away from AdS2. This pattern of spontaneous plus explicit symmetry breaking governs the gravitational backreaction of the system. It determines several gravitational properties such as the linear in temperature dependence of the near-extremal entropy as well as the gravitational corrections to correlation functions. These corrections include the ones determining the growth of out-of-time-order correlators that is indicative of chaos. These gravitational aspects can be described in terms of a Schwarzian derivative effective action for a reparametrization.},

  doi          = {10.1093/ptep/ptw124},

  journal      = {Progress of Theoretical and Experimental Physics},

  number       = 12,

  volume       = 2016,

  place        = {United States},

  year         = {Wed Nov 09 00:00:00 EST 2016},

  month        = {Wed Nov 09 00:00:00 EST 2016}

}

Copy to clipboard

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Title: Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space

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Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates text, January 2011

Remarks on entanglement entropy for gauge fields text, January 2013

Stringy effects in scrambling preprint, January 2014

Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture text, January 2015

Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet text, January 1992

Eikonal Quantum Gravity and Planckian Scattering text, January 1992

Black hole thermodynamics and information loss in two dimensions text, January 1994

Anti-de Sitter Fragmentation text, January 1998

AdS$_2$/CFT$_1$ correspondence and near-extremal black hole entropy text, January 1999

Conformality of 1 / N corrections in Sachdev-Ye-Kitaev-like models journal, December 2019

Quantum chaos for the unitary Fermi gas from the generalized Boltzmann equations journal, June 2019

Three-dimensional superconformal quantum mechanics with s l ( 2 | 1 ) dynamical symmetry journal, December 2019

Complexity of Jackiw-Teitelboim gravity journal, February 2019

Near horizon dynamics of three dimensional black holes journal, January 2020

Nearly AdS2 holography in quantum CGHS model journal, January 2020

Gravitational shockwaves on rotating black holes journal, February 2019

On complexity of Jackiw–Teitelboim gravity journal, April 2019

Firewalls vs. scrambling journal, October 2019

Particle motion near high-spin black holes journal, December 2019

Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite N journal, December 2019

Solving the Schwarzian via the conformal bootstrap journal, August 2017

Universal low temperature theory of charged black holes with AdS 2 horizons journal, May 2019

Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography journal, April 2017

Gravitational collapse in SYK models and Choptuik-like phenomenon journal, November 2019

Toda theory in AdS2 and 𝒲An-algebra structure of boundary correlators journal, October 2019

The ABC of Higher-Spin AdS/CFT journal, January 2018

Supersymmetric tensor model at large N and small ε journal, January 2020

Steady States, Thermal Physics, and Holography journal, March 2019

Quantum simulation of the non-fermi-liquid state of Sachdev-Ye-Kitaev model journal, June 2019

Tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model journal, May 2019

SYK correlators for all energies journal, February 2020

Two-dimensional dilaton gravity theory and lattice Schwarzian theory journal, October 2019

Recent Developments in the Holographic Description of Quantum Chaos journal, March 2019

Revealing Nonperturbative Effects in the SYK Model journal, November 2019

Tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model text, January 2019

A perturbative perspective on self-supporting wormholes journal, January 2019

Menagerie of AdS2 boundary conditions journal, October 2017

Locality from the Spectrum journal, February 2019

Analytical spectral density of the Sachdev-Ye-Kitaev model at finite N journal, September 2017

Mimicking black hole event horizons in atomic and solid-state systems journal, November 2018

Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model. text, January 2018

The ABC of Higher-Spin AdS/CFT preprint, January 2016

Superrotation Charge and Supertranslation Hair on Black Holes text, January 2016

Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N text, January 2017

Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories text, January 2017

Competition between Chaotic and Non-Chaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model text, January 2017

Thermal diffusivity and chaos in metals without quasiparticles text, January 2017

Magnetotransport in a model of a disordered strange metal text, January 2017

Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model text, January 2017

A perturbative perspective on self-supporting wormholes text, January 2018

Mimicking black hole event horizons in atomic and solid-state systems preprint, January 2018

On Complexity of Jackiw-Teitelboim Gravity text, January 2018

Symmetry Breaking in Coupled SYK or Tensor Models text, January 2019

Central charge for AdS ₂ quantum gravity
journal, April 2009

Graviton dominance in ultra-high-energy scattering
journal, November 1987

Scattering at planckian energies
journal, March 1992

Stringy effects in scrambling
journal, May 2015

Wormholes, emergent gauge fields, and the weak gravity conjecture
journal, January 2016

Gauge theory of two-dimensional gravity
journal, October 1985

Some properties of the Noether charge and a proposal for dynamical black hole entropy
journal, July 1994

Anti-de Sitter fragmentation
journal, February 1999

Conservation laws and two-dimensional black holes in dilaton gravity
journal, May 1993

Black hole thermodynamics and information loss in two dimensions
journal, September 1994

Lower dimensional gravity
journal, January 1985

AdS ₂ quantum gravity and string theory
journal, January 1999

The fluid manifesto: emergent symmetries, hydrodynamics, and black holes
journal, January 2016

Gravitation and hamiltonian structure in two spacetime dimensions
journal, June 1983

Entanglement Entropy of Electromagnetic Edge Modes
journal, March 2015

Asymptotic symmetries of AdS2 and conformal group in d = 1
journal, September 1999

Eikonal quantum gravity and planckian scattering
journal, December 1992

Gauge theory of topological gravity in 1+1 dimensions
journal, September 1989

Microscopic origin of the Bekenstein-Hawking entropy
journal, June 1996

Entropy function and AdS ₂ / CFT ₁ correspondence
journal, November 2008

Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates
journal, February 2012

Remarks on entanglement entropy for gauge fields
journal, April 2014

AdS 2 /CFT 1 correspondence and near-extremal black hole entropy
journal, July 2000

Central Charge for AdS_2 Quantum Gravity
text, January 2008

Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
text, January 2011

Remarks on entanglement entropy for gauge fields
text, January 2013

Stringy effects in scrambling
preprint, January 2014

Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture
text, January 2015

Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
text, January 1992

Eikonal Quantum Gravity and Planckian Scattering
text, January 1992

Black hole thermodynamics and information loss in two dimensions
text, January 1994

Anti-de Sitter Fragmentation
text, January 1998

AdS$_2$/CFT$_1$ correspondence and near-extremal black hole entropy
text, January 1999

Conformality of $1 / N$ corrections in Sachdev-Ye-Kitaev-like models
journal, December 2019

Quantum chaos for the unitary Fermi gas from the generalized Boltzmann equations
journal, June 2019

Three-dimensional superconformal quantum mechanics with $s l (2 | 1)$ dynamical symmetry
journal, December 2019

Complexity of Jackiw-Teitelboim gravity
journal, February 2019

Near horizon dynamics of three dimensional black holes
journal, January 2020

Nearly AdS2 holography in quantum CGHS model
journal, January 2020

Gravitational shockwaves on rotating black holes
journal, February 2019

On complexity of Jackiw–Teitelboim gravity
journal, April 2019

Firewalls vs. scrambling
journal, October 2019

Particle motion near high-spin black holes
journal, December 2019

Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
journal, December 2019

Solving the Schwarzian via the conformal bootstrap
journal, August 2017

Universal low temperature theory of charged black holes with AdS ₂ horizons
journal, May 2019

Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
journal, April 2017

Gravitational collapse in SYK models and Choptuik-like phenomenon
journal, November 2019

Toda theory in AdS2 and 𝒲An-algebra structure of boundary correlators
journal, October 2019

The ABC of Higher-Spin AdS/CFT
journal, January 2018

Supersymmetric tensor model at large $N$ and small $ε$
journal, January 2020

Steady States, Thermal Physics, and Holography
journal, March 2019

Quantum simulation of the non-fermi-liquid state of Sachdev-Ye-Kitaev model
journal, June 2019

Tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
journal, May 2019

SYK correlators for all energies
journal, February 2020

Two-dimensional dilaton gravity theory and lattice Schwarzian theory
journal, October 2019

Recent Developments in the Holographic Description of Quantum Chaos
journal, March 2019

Revealing Nonperturbative Effects in the SYK Model
journal, November 2019

Tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
text, January 2019

A perturbative perspective on self-supporting wormholes
journal, January 2019

Menagerie of AdS2 boundary conditions
journal, October 2017

Locality from the Spectrum
journal, February 2019

Analytical spectral density of the Sachdev-Ye-Kitaev model at finite $N$
journal, September 2017

Mimicking black hole event horizons in atomic and solid-state systems
journal, November 2018

Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model.
text, January 2018

The ABC of Higher-Spin AdS/CFT
preprint, January 2016

Superrotation Charge and Supertranslation Hair on Black Holes
text, January 2016

Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
text, January 2017

Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
text, January 2017

Competition between Chaotic and Non-Chaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
text, January 2017

Thermal diffusivity and chaos in metals without quasiparticles
text, January 2017

Magnetotransport in a model of a disordered strange metal
text, January 2017

Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
text, January 2017

A perturbative perspective on self-supporting wormholes
text, January 2018

Mimicking black hole event horizons in atomic and solid-state systems
preprint, January 2018

On Complexity of Jackiw-Teitelboim Gravity
text, January 2018

Symmetry Breaking in Coupled SYK or Tensor Models
text, January 2019

Universal low temperature theory of charged black holes with AdS$_2$ horizons
text, January 2019

Firewalls vs. Scrambling
text, January 2019

Revealing nonperturbative effects in the SYK model
text, January 2019