On information loss in AdS3/CFT2

Fitzpatrick, A. Liam; Kaplan, Jared; Li, Daliang; Wang, Junpu

doi:10.1007/JHEP05(2016)109

Title: On information loss in AdS₃/CFT₂

Abstract

We discuss information loss from black hole physics in AdS₃, focusing on two sharp signatures infecting CFT₂ correlators at large central charge c: ‘forbidden singularities’ arising from Euclidean-time periodicity due to the effective Hawking temperature, and late-time exponential decay in the Lorentzian region. We study an infinite class of examples where forbidden singularities can be resolved by non-perturbative effects at finite c, and we show that the resolution has certain universal features that also apply in the general case. Analytically continuing to the Lorentzian regime, we find that the non-perturbative effects that resolve forbidden singularities qualitatively change the behavior of correlators at times t ~S_BH, the black hole entropy. This may resolve the exponential decay of correlators at late times in black hole backgrounds. By Borel resumming the 1/c expansion of exact examples, we explicitly identify ‘information-restoring’ effects from heavy states that should correspond to classical solutions in AdS₃. Lastly, our results suggest a line of inquiry towards a more precise formulation of the gravitational path integral in AdS₃.

Authors:

Fitzpatrick, A. Liam ^[1]; Kaplan, Jared ^[2]; Li, Daliang ^[2]; Wang, Junpu ^[2]

Boston Univ., Boston, MA (United States)
Johns Hopkins Univ., Baltimore, MD (United States)

Publication Date:: Wed May 18 00:00:00 EDT 2016

Research Org.:: Boston Univ., MA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1326955

Grant/Contract Number:: SC0010025

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: 5; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; 1/N expansion; AdS-CFT correspondence; Black Holes; Conformal and W symmetry

Citation Formats


                    Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang, and Wang, Junpu. On information loss in AdS3/CFT2.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP05(2016)109.

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                    Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang, & Wang, Junpu. On information loss in AdS3/CFT2.  United States.  https://doi.org/10.1007/JHEP05(2016)109

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                    Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang, and Wang, Junpu. Wed .  
"On information loss in AdS3/CFT2".  United States.  https://doi.org/10.1007/JHEP05(2016)109.  https://www.osti.gov/servlets/purl/1326955.

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@article{osti_1326955,

  title        = {On information loss in AdS3/CFT2},

  author       = {Fitzpatrick, A. Liam and Kaplan, Jared and Li, Daliang and Wang, Junpu},

  abstractNote = {We discuss information loss from black hole physics in AdS3, focusing on two sharp signatures infecting CFT2 correlators at large central charge c: ‘forbidden singularities’ arising from Euclidean-time periodicity due to the effective Hawking temperature, and late-time exponential decay in the Lorentzian region. We study an infinite class of examples where forbidden singularities can be resolved by non-perturbative effects at finite c, and we show that the resolution has certain universal features that also apply in the general case. Analytically continuing to the Lorentzian regime, we find that the non-perturbative effects that resolve forbidden singularities qualitatively change the behavior of correlators at times t ~SBH, the black hole entropy. This may resolve the exponential decay of correlators at late times in black hole backgrounds. By Borel resumming the 1/c expansion of exact examples, we explicitly identify ‘information-restoring’ effects from heavy states that should correspond to classical solutions in AdS3. Lastly, our results suggest a line of inquiry towards a more precise formulation of the gravitational path integral in AdS3.},

  doi          = {10.1007/JHEP05(2016)109},

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

  number       = 5,

  volume       = 2016,

  place        = {United States},

  year         = {Wed May 18 00:00:00 EDT 2016},

  month        = {Wed May 18 00:00:00 EDT 2016}

}

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Recent work has demonstrated that black hole thermodynamics and information loss/restoration in AdS₃/CFT₂ can be derived almost entirely from the behavior of the Virasoro conformal blocks at large central charge, with relatively little dependence on the precise details of the CFT spectrum or OPE coefficients. Here, we elaborate on the non-perturbative behavior of Virasoro blocks by classifying all ‘saddles’ that can contribute for arbitrary values of external and internal operator dimensions in the semiclassical large central charge limit. The leading saddles, which determine the naive semiclassical behavior of the Virasoro blocks, all decay exponentially at late times, and at amore »« less
Cited by 47
https://doi.org/10.1007/JHEP04(2017)072

Full Text Available
AdS-CFT correspondence and the information paradox

Journal Article Lowe, D A ; Thorlacius, L ; University of Iceland, Science Institute, Dunhaga 3, 107 Reykjavik - Physical Review, D

The information paradox in the quantum evolution of black holes is studied within the framework of the anti{endash}de Sitter{endash}conformal field theory (AdS-CFT) correspondence. The unitarity of the CFT strongly suggests that all information about an initial state that forms a black hole is returned in the Hawking radiation. The CFT dynamics implies an information retention time of the order of the black-hole lifetime. This fact determines many qualitative properties of the nonlocal effects that must show up in a semiclassical effective theory in the bulk. We argue that no violations of causality are apparent to local observers, but the semiclassicalmore »« less
https://doi.org/10.1103/PhysRevD.60.104012
4D scattering amplitudes and asymptotic symmetries from 2D CFT

Journal Article Cheung, Clifford ; de la Fuente, Anton ; Sundrum, Raman - Journal of High Energy Physics (Online)

We reformulate the scattering amplitudes of 4D at space gauge theory and gravity in the language of a 2D CFT on the celestial sphere. The resulting CFT structure exhibits an OPE constructed from 4D collinear singularities, as well as infinite-dimensional Kac-Moody and Virasoro algebras encoding the asymptotic symmetries of 4D at space. We derive these results by recasting 4D dynamics in terms of a convenient foliation of flat space into 3D Euclidean AdS and Lorentzian dS geometries. Tree-level scattering amplitudes take the form of Witten diagrams for a continuum of (A)dS modes, which are in turn equivalent to CFT correlatorsmore »« less
Cited by 130
https://doi.org/10.1007/JHEP01(2017)112

Full Text Available
Toward an effective CFT₂ from $$ \mathcal{N} $$ = 4 super Yang-Mills and aspects of Hawking radiation

Journal Article Nian, Jun ; Pando Zayas, Leopoldo A. - Journal of High Energy Physics (Online)

Using $$ \more »« less
https://doi.org/10.1007/jhep07(2020)120

Full Text Available
Local bulk operators in AdS/CFT correspondence: A holographic description of the black hole interior

Journal Article Hamilton, Alex ; Kabat, Daniel ; Lifschytz, Gilad ; ... - Physical Review. D, Particles Fields

To gain insight into how bulk locality emerges from the holographic conformal field theory (CFT), we reformulate the bulk-to-boundary map in as local a way as possible. In previous work, we carried out this program for Lorentzian anti-de Sitter (AdS), and showed the support on the boundary could always be reduced to a compact region spacelike separated from the bulk point. In the present work the idea is extended to a complexified boundary, where spatial coordinates are continued to imaginary values. This continuation enables us to represent a local bulk operator as a CFT operator with support on a finitemore »« less
https://doi.org/10.1103/PHYSREVD.75.106001

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Title: On information loss in AdS3/CFT2

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Citation Formats

Particle creation by black holes journal, August 1975

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity journal, June 1986

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Anti de Sitter space and holography journal, January 1998

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

The information paradox: a pedagogical introduction journal, October 2009

The information paradox and the infall problem journal, May 2011

Black holes: complementarity or firewalls? journal, February 2013

Better Late than Never: Information Retrieval from Black Holes journal, March 2013

Holography from conformal field theory journal, October 2009

Writing CFT correlation functions as AdS scattering amplitudes journal, March 2011

Eternal black holes in anti-de Sitter journal, April 2003

Universality of long-distance AdS physics from the CFT bootstrap journal, August 2014

Virasoro conformal blocks and thermality from classical background fields journal, November 2015

Monodromic vs geodesic computation of Virasoro classical conformal blocks journal, March 2016

Worldline approach to semi-classical conformal blocks journal, July 2015

Virasoro vacuum block at next-to-leading order in the heavy-light limit journal, February 2016

Resurgence theory, ghost-instantons, and analytic continuation of path integrals journal, October 2013

Entanglement scrambling in 2d conformal field theory journal, September 2015

Semiclassical Virasoro blocks from AdS3 gravity journal, December 2015

Conformal algebra and multipoint correlation functions in 2D statistical models journal, October 1984

Analytic continuation of Chern-Simons theory book, January 2010

Knot invariants from four-dimensional gauge theory journal, January 2012

Thermodynamics of black holes in anti-de Sitter space journal, December 1983

The Black Hole Singularity in AdS/CFT journal, February 2004

Black hole in three-dimensional spacetime journal, September 1992

Strings in AdS 3 and the SL ( 2 , R ) WZW model. III. Correlation functions journal, May 2002

Analytic continuation of Liouville theory journal, December 2011

Holographic entanglement entropy from 2d CFT: heavy states and local quenches journal, February 2015

Time dependent black holes and thermal equilibration journal, December 2007

On the many saddle points description of quantum black holes journal, June 2014

Very long time scales and black hole thermal equilibrium journal, November 2003

On long time unitarity restoring processes in the presence of eternal black holes journal, June 2004

Poincare Recurrences and Topological Diversity journal, October 2004

Geometry and quantum noise journal, June 2014

Conformal symmetry in two dimensions: An explicit recurrence formula for the conformal partial wave amplitude journal, September 1984

Virasoro conformal blocks in closed form journal, August 2015

Infinite conformal symmetry in two-dimensional quantum field theory journal, July 1984

Conformal Field Theory book, January 1997

Degenerate conformal field theories and explicit expressions for some null vectors journal, December 1988

The dS/CFT correspondence journal, October 2001

Covariant differential equations and singular vectors in virasoro representations journal, September 1991

Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles journal, October 2015

The gravitational exclusion principle and null states in anti-de Sitter space journal, September 2011

Black hole creation in 2 + 1 dimensions journal, January 1999

Quantum field theory and the Jones polynomial journal, September 1989

2 + 1 dimensional gravity as an exactly soluble system journal, December 1988

Conformal field theory, two-dimensional quantum gravity and quantization of Teichmüller space journal, June 1990

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

Causality constraints on corrections to the graviton three-point coupling journal, February 2016

Tensor representations of conformal algebra and conformally covariant operator product expansion journal, March 1973

Bounding scalar operator dimensions in 4 D CFT journal, December 2008

Universal spectrum of 2d conformal field theory in the large c limit journal, September 2014

An infalling observer in AdS/CFT journal, October 2013

Black Hole Interior in the Holographic Correspondence and the Information Paradox journal, February 2014

Convergence of Operator Product Expansions on the Vacuum in Conformal Invariant Quantum Field Theory text, January 1976

Tensor Representations of Conformal Algebra and Conformally Covariant Operator Product Expansion text, January 1973

Tensor Representations of Conformal Algebra and Conformally Covariant Operator Product Expansion text, January 1971

Operator product expansions on the vacuum in conformal quantum field theory in two spacetime dimensions text, January 1975

Time dependent black holes and thermal equilibration text, January 2007

Holography from Conformal Field Theory text, January 2009

Better Late than Never: Information Retrieval from Black Holes text, January 2009

The information paradox: A pedagogical introduction text, January 2009

An Infalling Observer in AdS/CFT text, January 2012

Universality of Long-Distance AdS Physics from the CFT Bootstrap text, January 2014

Geometry And Quantum Noise text, January 2014

Universal Spectrum of 2d Conformal Field Theory in the Large c Limit text, January 2014

Worldline approach to semi-classical conformal blocks preprint, January 2015

Virasoro Conformal Blocks and Thermality from Classical Background Fields text, January 2015

Virasoro conformal blocks in closed form text, January 2015

Classical conformal blocks via AdS/CFT correspondence text, January 2015

Semiclassical Virasoro Blocks from AdS$_3$ Gravity text, January 2015

Monodromic vs geodesic computation of Virasoro classical conformal blocks text, January 2015

Virasoro vacuum block at next-to-leading order in the heavy-light limit text, January 2015

The Black Hole Singularity in AdS/CFT text, January 2003

Very Long Time Scales and Black Hole Thermal Equilibrium text, January 2003

Gauge Theory Correlators from Non-Critical String Theory text, January 1998

Title: On information loss in AdS₃/CFT₂

Particle creation by black holes
journal, August 1975

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
journal, June 1986

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Anti de Sitter space and holography
journal, January 1998

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

The information paradox: a pedagogical introduction
journal, October 2009

The information paradox and the infall problem
journal, May 2011

Black holes: complementarity or firewalls?
journal, February 2013

Better Late than Never: Information Retrieval from Black Holes
journal, March 2013

Holography from conformal field theory
journal, October 2009

Writing CFT correlation functions as AdS scattering amplitudes
journal, March 2011

Eternal black holes in anti-de Sitter
journal, April 2003

Universality of long-distance AdS physics from the CFT bootstrap
journal, August 2014

Virasoro conformal blocks and thermality from classical background fields
journal, November 2015

Monodromic vs geodesic computation of Virasoro classical conformal blocks
journal, March 2016

Worldline approach to semi-classical conformal blocks
journal, July 2015

Virasoro vacuum block at next-to-leading order in the heavy-light limit
journal, February 2016

Resurgence theory, ghost-instantons, and analytic continuation of path integrals
journal, October 2013

Entanglement scrambling in 2d conformal field theory
journal, September 2015

Semiclassical Virasoro blocks from AdS3 gravity
journal, December 2015

Conformal algebra and multipoint correlation functions in 2D statistical models
journal, October 1984

Analytic continuation of Chern-Simons theory
book, January 2010

Knot invariants from four-dimensional gauge theory
journal, January 2012

Thermodynamics of black holes in anti-de Sitter space
journal, December 1983

The Black Hole Singularity in AdS/CFT
journal, February 2004

Black hole in three-dimensional spacetime
journal, September 1992

Strings in ${AdS}_{3}$ and the $SL (2, R)$ WZW model. III. Correlation functions
journal, May 2002

Analytic continuation of Liouville theory
journal, December 2011

Holographic entanglement entropy from 2d CFT: heavy states and local quenches
journal, February 2015

Time dependent black holes and thermal equilibration
journal, December 2007

On the many saddle points description of quantum black holes
journal, June 2014

Very long time scales and black hole thermal equilibrium
journal, November 2003

On long time unitarity restoring processes in the presence of eternal black holes
journal, June 2004

Poincare Recurrences and Topological Diversity
journal, October 2004

Geometry and quantum noise
journal, June 2014

Conformal symmetry in two dimensions: An explicit recurrence formula for the conformal partial wave amplitude
journal, September 1984

Virasoro conformal blocks in closed form
journal, August 2015

Infinite conformal symmetry in two-dimensional quantum field theory
journal, July 1984

Conformal Field Theory
book, January 1997

Degenerate conformal field theories and explicit expressions for some null vectors
journal, December 1988

The dS/CFT correspondence
journal, October 2001

Covariant differential equations and singular vectors in virasoro representations
journal, September 1991

Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles
journal, October 2015

The gravitational exclusion principle and null states in anti-de Sitter space
journal, September 2011

Black hole creation in 2 + 1 dimensions
journal, January 1999

Quantum field theory and the Jones polynomial
journal, September 1989

2 + 1 dimensional gravity as an exactly soluble system
journal, December 1988

Conformal field theory, two-dimensional quantum gravity and quantization of Teichmüller space
journal, June 1990

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

Causality constraints on corrections to the graviton three-point coupling
journal, February 2016

Tensor representations of conformal algebra and conformally covariant operator product expansion
journal, March 1973

Bounding scalar operator dimensions in 4 D CFT
journal, December 2008

Universal spectrum of 2d conformal field theory in the large c limit
journal, September 2014

An infalling observer in AdS/CFT
journal, October 2013

Black Hole Interior in the Holographic Correspondence and the Information Paradox
journal, February 2014

Convergence of Operator Product Expansions on the Vacuum in Conformal Invariant Quantum Field Theory
text, January 1976

Tensor Representations of Conformal Algebra and Conformally Covariant Operator Product Expansion
text, January 1973

Tensor Representations of Conformal Algebra and Conformally Covariant Operator Product Expansion
text, January 1971

Operator product expansions on the vacuum in conformal quantum field theory in two spacetime dimensions
text, January 1975

Time dependent black holes and thermal equilibration
text, January 2007

Holography from Conformal Field Theory
text, January 2009

Better Late than Never: Information Retrieval from Black Holes
text, January 2009

The information paradox: A pedagogical introduction
text, January 2009

An Infalling Observer in AdS/CFT
text, January 2012

Universality of Long-Distance AdS Physics from the CFT Bootstrap
text, January 2014

Geometry And Quantum Noise
text, January 2014

Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
text, January 2014

Worldline approach to semi-classical conformal blocks
preprint, January 2015

Virasoro Conformal Blocks and Thermality from Classical Background Fields
text, January 2015

Virasoro conformal blocks in closed form
text, January 2015

Classical conformal blocks via AdS/CFT correspondence
text, January 2015

Semiclassical Virasoro Blocks from AdS$_3$ Gravity
text, January 2015

Monodromic vs geodesic computation of Virasoro classical conformal blocks
text, January 2015

Virasoro vacuum block at next-to-leading order in the heavy-light limit
text, January 2015

The Black Hole Singularity in AdS/CFT
text, January 2003

Very Long Time Scales and Black Hole Thermal Equilibrium
text, January 2003

Gauge Theory Correlators from Non-Critical String Theory
text, January 1998

Anti De Sitter Space And Holography
text, January 1998

Vacuum block thermalization in semi-classical 2d CFT
journal, February 2019