Equivalence of emergent de Sitter spaces from conformal field theory

Asplund, Curtis T.; Callebaut, Nele; Zukowski, Claire

doi:10.1007/JHEP09(2016)154

Title: Equivalence of emergent de Sitter spaces from conformal field theory

Abstract

Recently, two groups have made distinct proposals for a de Sitter space that is emergent from conformal field theory (CFT). The first proposal is that, for two-dimensional holographic CFTs, the kinematic space of geodesics on a space-like slice of the asymptotically anti-de Sitter bulk is two-dimensional de Sitter space (dS₂), with a metric that can be derived from the entanglement entropy of intervals in the CFT. In the second proposal, de Sitter dynamics emerges naturally from the first law of entanglement entropy for perturbations around the vacuum state of CFTs. We provide support for the equivalence of these two emergent spacetimes in the vacuum case and beyond. In particular, we study the kinematic spaces of nontrivial solutions of 3d gravity, including the BTZ black string, BTZ black hole, and conical singularities. We argue that the resulting spaces are generically globally hyperbolic spacetimes that support dynamics given boundary conditions at future infinity. For the BTZ black string, corresponding to a thermal state of the CFT, we show that both prescriptions lead to an emergent hyperbolic patch of dS₂. As a result, we offer a general method for relating kinematic space and the auxiliary de Sitter space that is valid in themore » vacuum and thermal cases.« less

Authors:

Asplund, Curtis T. ^[1]; Callebaut, Nele ^[2]; Zukowski, Claire ^[1]

Columbia Univ., New York, NY (United States)
Columbia Univ., New York, NY (United States); Instituut voor Theoretische Fysica, Leuven (Belgium)

Publication Date:: 2016-09-27

Research Org.:: Columbia Univ., New York, NY (United States)

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

OSTI Identifier:: 1360131

Grant/Contract Number:: SC0011941

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: 9; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 74 ATOMIC AND MOLECULAR PHYSICS; AdS-CFT correspondence; conformal field theory; spacetime singularities

Citation Formats


                    Asplund, Curtis T., Callebaut, Nele, and Zukowski, Claire. Equivalence of emergent de Sitter spaces from conformal field theory.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP09(2016)154.

Copy to clipboard


                    Asplund, Curtis T., Callebaut, Nele, & Zukowski, Claire. Equivalence of emergent de Sitter spaces from conformal field theory.  United States.  https://doi.org/10.1007/JHEP09(2016)154

Copy to clipboard


                    Asplund, Curtis T., Callebaut, Nele, and Zukowski, Claire. Tue .  
"Equivalence of emergent de Sitter spaces from conformal field theory".  United States.  https://doi.org/10.1007/JHEP09(2016)154.  https://www.osti.gov/servlets/purl/1360131.

Copy to clipboard


                    
@article{osti_1360131,

  title        = {Equivalence of emergent de Sitter spaces from conformal field theory},

  author       = {Asplund, Curtis T. and Callebaut, Nele and Zukowski, Claire},

  abstractNote = {Recently, two groups have made distinct proposals for a de Sitter space that is emergent from conformal field theory (CFT). The first proposal is that, for two-dimensional holographic CFTs, the kinematic space of geodesics on a space-like slice of the asymptotically anti-de Sitter bulk is two-dimensional de Sitter space (dS2), with a metric that can be derived from the entanglement entropy of intervals in the CFT. In the second proposal, de Sitter dynamics emerges naturally from the first law of entanglement entropy for perturbations around the vacuum state of CFTs. We provide support for the equivalence of these two emergent spacetimes in the vacuum case and beyond. In particular, we study the kinematic spaces of nontrivial solutions of 3d gravity, including the BTZ black string, BTZ black hole, and conical singularities. We argue that the resulting spaces are generically globally hyperbolic spacetimes that support dynamics given boundary conditions at future infinity. For the BTZ black string, corresponding to a thermal state of the CFT, we show that both prescriptions lead to an emergent hyperbolic patch of dS2. As a result, we offer a general method for relating kinematic space and the auxiliary de Sitter space that is valid in the vacuum and thermal cases.},

  doi          = {10.1007/JHEP09(2016)154},

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

  number       = 9,

  volume       = 2016,

  place        = {United States},

  year         = {2016},

  month        = {9}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1007/JHEP09(2016)154

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

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

Ryu, Shinsei; Takayanagi, Tadashi
Physical Review Letters, Vol. 96, Issue 18
DOI: 10.1103/PhysRevLett.96.181602

Aspects of holographic entanglement entropy
journal, August 2006

Ryu, Shinsei; Takayanagi, Tadashi
Journal of High Energy Physics, Vol. 2006, Issue 08
DOI: 10.1088/1126-6708/2006/08/045

A covariant holographic entanglement entropy proposal
journal, July 2007

Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi
Journal of High Energy Physics, Vol. 2007, Issue 07
DOI: 10.1088/1126-6708/2007/07/062

Covariant constraints on hole-ography
journal, September 2015

Engelhardt, Netta; Fischetti, Sebastian
Classical and Quantum Gravity, Vol. 32, Issue 19
DOI: 10.1088/0264-9381/32/19/195021

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

Maldacena, Juan
Journal of High Energy Physics, Vol. 2003, Issue 04
DOI: 10.1088/1126-6708/2003/04/021

Building up spacetime with quantum entanglement
journal, June 2010

Van Raamsdonk, Mark
General Relativity and Gravitation, Vol. 42, Issue 10
DOI: 10.1007/s10714-010-1034-0

Gravitational dynamics from entanglement “thermodynamics”
journal, April 2014

Lashkari, Nima; McDermott, Michael B.; Van Raamsdonk, Mark
Journal of High Energy Physics, Vol. 2014, Issue 4
DOI: 10.1007/JHEP04(2014)195

Gravitation from entanglement in holographic CFTs
journal, March 2014

Faulkner, Thomas; Guica, Monica; Hartman, Thomas
Journal of High Energy Physics, Vol. 2014, Issue 3
DOI: 10.1007/JHEP03(2014)051

Holographic geometry of entanglement renormalization in quantum field theories
journal, October 2012

Nozaki, Masahiro; Ryu, Shinsei; Takayanagi, Tadashi
Journal of High Energy Physics, Vol. 2012, Issue 10
DOI: 10.1007/JHEP10(2012)193

Integral geometry and holography
journal, October 2015

Czech, Bartłomiej; Lamprou, Lampros; McCandlish, Samuel
Journal of High Energy Physics, Vol. 2015, Issue 10
DOI: 10.1007/JHEP10(2015)175

Tensor networks from kinematic space
journal, July 2016

Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel
Journal of High Energy Physics, Vol. 2016, Issue 7
DOI: 10.1007/JHEP07(2016)100

Holographic holes in higher dimensions
journal, June 2014

Myers, Robert C.; Rao, Junjie; Sugishita, Sotaro
Journal of High Energy Physics, Vol. 2014, Issue 6
DOI: 10.1007/JHEP06(2014)044

Holographic holes and differential entropy
journal, October 2014

Headrick, Matthew; Myers, Robert C.; Wien, Jason
Journal of High Energy Physics, Vol. 2014, Issue 10
DOI: 10.1007/JHEP10(2014)149

Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
journal, February 2016

de Boer, Jan; Heller, Michal P.; Myers, Robert C.
Physical Review Letters, Vol. 116, Issue 6
DOI: 10.1103/PhysRevLett.116.061602

Tensor network quotient takes the vacuum to the thermal state
journal, August 2016

Czech, Bartłomiej; Evenbly, Glen; Lamprou, Lampros
Physical Review B, Vol. 94, Issue 8
DOI: 10.1103/PhysRevB.94.085101

A stereoscopic look into the bulk
journal, July 2016

Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel
Journal of High Energy Physics, Vol. 2016, Issue 7
DOI: 10.1007/JHEP07(2016)129

Entanglement, holography and causal diamonds
journal, August 2016

de Boer, Jan; Haehl, Felix M.; Heller, Michal P.
Journal of High Energy Physics, Vol. 2016, Issue 8
DOI: 10.1007/JHEP08(2016)162

Entanglement entropy and quantum field theory
journal, June 2004

Calabrese, Pasquale; Cardy, John
Journal of Statistical Mechanics: Theory and Experiment, Vol. 2004, Issue 06
DOI: 10.1088/1742-5468/2004/06/P06002

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

Brown, J. D.; Henneaux, Marc
Communications in Mathematical Physics, Vol. 104, Issue 2
DOI: 10.1007/BF01211590

Black hole in three-dimensional spacetime
journal, September 1992

Bañados, Máximo; Teitelboim, Claudio; Zanelli, Jorge
Physical Review Letters, Vol. 69, Issue 13
DOI: 10.1103/PhysRevLett.69.1849

Geometry of the 2+1 black hole
journal, August 1993

Bañados, Máximo; Henneaux, Marc; Teitelboim, Claudio
Physical Review D, Vol. 48, Issue 4
DOI: 10.1103/PhysRevD.48.1506

Holographic entanglement plateaux
journal, August 2013

Hubeny, Veronika E.; Maxfield, Henry; Rangamani, Mukund
Journal of High Energy Physics, Vol. 2013, Issue 8
DOI: 10.1007/JHEP08(2013)092

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

Hawking, S. W.; Page, Don N.
Communications in Mathematical Physics, Vol. 87, Issue 4
DOI: 10.1007/BF01208266

Entwinement and the emergence of spacetime
journal, January 2015

Balasubramanian, Vijay; Chowdhury, Borun D.; Czech, Bartłlomiej
Journal of High Energy Physics, Vol. 2015, Issue 1
DOI: 10.1007/JHEP01(2015)048

Massless black holes and black rings as effective geometries of the D1–D5 system
journal, October 2005

Balasubramanian, Vijay; Kraus, Per; Shigemori, Masaki
Classical and Quantum Gravity, Vol. 22, Issue 22
DOI: 10.1088/0264-9381/22/22/010

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

Asplund, Curtis T.; Bernamonti, Alice; Galli, Federico
Journal of High Energy Physics, Vol. 2015, Issue 2
DOI: 10.1007/JHEP02(2015)171

Operator content of two-dimensional conformally invariant theories
journal, January 1986

Cardy, John L.
Nuclear Physics B, Vol. 270
DOI: 10.1016/0550-3213(86)90552-3

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

Asplund, Curtis T.; Bernamonti, Alice; Galli, Federico
Journal of High Energy Physics, Vol. 2015, Issue 9
DOI: 10.1007/JHEP09(2015)110

Quantum dress for a naked singularity
journal, September 2016

Casals, Marc; Fabbri, Alessandro; Martínez, Cristián
Physics Letters B, Vol. 760
DOI: 10.1016/j.physletb.2016.06.044

Quantum Black Holes as Holograms in AdS Braneworlds
journal, August 2002

Emparan, Roberto; Fabbri, Alessandro; Kaloper, Nemanja
Journal of High Energy Physics, Vol. 2002, Issue 08
DOI: 10.1088/1126-6708/2002/08/043

Black holes and wormholes in dimensions
journal, March 1998

Åminneborg, Stefan; Bengtsson, Ingemar; Brill, Dieter
Classical and Quantum Gravity, Vol. 15, Issue 3
DOI: 10.1088/0264-9381/15/3/013

Multiboundary wormholes and holographic entanglement
journal, September 2014

Balasubramanian, Vijay; Hayden, Patrick; Maloney, Alexander
Classical and Quantum Gravity, Vol. 31, Issue 18
DOI: 10.1088/0264-9381/31/18/185015

Towards a derivation of holographic entanglement entropy
journal, May 2011

Casini, Horacio; Huerta, Marina; Myers, Robert C.
Journal of High Energy Physics, Vol. 2011, Issue 5
DOI: 10.1007/JHEP05(2011)036

Relative entropy and holography
journal, August 2013

Blanco, David D.; Casini, Horacio; Hung, Ling-Yan
Journal of High Energy Physics, Vol. 2013, Issue 8
DOI: 10.1007/JHEP08(2013)060

Entanglement spectrum in one-dimensional systems
journal, September 2008

Calabrese, Pasquale; Lefevre, Alexandre
Physical Review A, Vol. 78, Issue 3
DOI: 10.1103/PhysRevA.78.032329

Holographic calculations of Rényi entropy
journal, December 2011

Hung, Ling-Yan; Myers, Robert C.; Smolkin, Michael
Journal of High Energy Physics, Vol. 2011, Issue 12
DOI: 10.1007/JHEP12(2011)047

Rényi entropies of free bosons on the torus and holography
journal, April 2014

Datta, Shouvik; David, Justin R.
Journal of High Energy Physics, Vol. 2014, Issue 4
DOI: 10.1007/JHEP04(2014)081

Comments on Rényi entropy in AdS3/CFT2
journal, May 2014

Perlmutter, Eric
Journal of High Energy Physics, Vol. 2014, Issue 5
DOI: 10.1007/JHEP05(2014)052

Short interval expansion of Rényi entropy on torus
journal, August 2016

Chen, Bin; Wu, Jun-Bao; Zhang, Jia-ju
Journal of High Energy Physics, Vol. 2016, Issue 8
DOI: 10.1007/JHEP08(2016)130

Relative entropy equals bulk relative entropy
journal, June 2016

Jafferis, Daniel L.; Lewkowycz, Aitor; Maldacena, Juan
Journal of High Energy Physics, Vol. 2016, Issue 6
DOI: 10.1007/JHEP06(2016)004

De Sitter Musings
journal, May 2012

Anninos, Dionysios
International Journal of Modern Physics A, Vol. 27, Issue 13
DOI: 10.1142/S0217751X1230013X

Thermo-field dynamics of black holes
journal, May 1976

Israel, W.
Physics Letters A, Vol. 57, Issue 2
DOI: 10.1016/0375-9601(76)90178-X

Building up Space–Time with Quantum Entanglement
journal, December 2010

Van Raamsdonk, Mark
International Journal of Modern Physics D, Vol. 19, Issue 14
DOI: 10.1142/s0218271810018529

A Covariant Holographic Entanglement Entropy Proposal
text, January 2007

Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi
arXiv
DOI: 10.48550/arxiv.0705.0016

Entanglement spectrum in one-dimensional systems
text, January 2008

Calabrese, Pasquale; Lefevre, Alexandre
arXiv
DOI: 10.48550/arxiv.0806.3059

Towards a derivation of holographic entanglement entropy
text, January 2011

Casini, Horacio; Huerta, Marina; Myers, Robert C.
arXiv
DOI: 10.48550/arxiv.1102.0440

Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
text, January 2012

Nozaki, Masahiro; Ryu, Shinsei; Takayanagi, Tadashi
arXiv
DOI: 10.48550/arxiv.1208.3469

Holographic Holes in Higher Dimensions
text, January 2014

Myers, Robert C.; Rao, Junjie; Sugishita, Sotaro
arXiv
DOI: 10.48550/arxiv.1403.3416

Multiboundary Wormholes and Holographic Entanglement
text, January 2014

Balasubramanian, Vijay; Hayden, Patrick; Maloney, Alexander
arXiv
DOI: 10.48550/arxiv.1406.2663

Entwinement and the emergence of spacetime
text, January 2014

Balasubramanian, Vijay; Chowdhury, Borun D.; Czech, Bartlomiej
arXiv
DOI: 10.48550/arxiv.1406.5859

Holographic Holes and Differential Entropy
text, January 2014

Headrick, Matthew; Myers, Robert C.; Wien, Jason
arXiv
DOI: 10.48550/arxiv.1408.4770

Tensor Networks from Kinematic Space
text, January 2015

Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel
arXiv
DOI: 10.48550/arxiv.1512.01548

A Stereoscopic Look into the Bulk
text, January 2016

Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel
arXiv
DOI: 10.48550/arxiv.1604.03110

Geometry of the 2+1 Black Hole
text, January 1993

Banados, Maximo; Henneaux, Marc; Teitelboim, Claudio
arXiv
DOI: 10.48550/arxiv.gr-qc/9302012

Massless black holes and black rings as effective geometries of the D1-D5 system
text, January 2005

Balasubramanian, Vijay; Kraus, Per; Shigemori, Masaki
arXiv
DOI: 10.48550/arxiv.hep-th/0508110

Aspects of Holographic Entanglement Entropy
text, January 2006

Ryu, Shinsei; Takayanagi, Tadashi
arXiv
DOI: 10.48550/arxiv.hep-th/0605073

Works referencing / citing this record:

Topological Complexity in AdS ₃ /CFT ₂
journal, June 2018

Abt, Raimond; Erdmenger, Johanna; Hinrichsen, Haye
Fortschritte der Physik, Vol. 66, Issue 6
DOI: 10.1002/prop.201800034

Kinematic space and wormholes
journal, January 2017

Zhang, Jian-dong; Chen, Bin
Journal of High Energy Physics, Vol. 2017, Issue 1
DOI: 10.1007/jhep01(2017)092

Holographic subregion complexity from kinematic space
journal, January 2019

Abt, Raimond; Erdmenger, Johanna; Gerbershagen, Marius
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/jhep01(2019)012

The gravitational dynamics of kinematic space
journal, February 2019

Callebaut, Nele
Journal of High Energy Physics, Vol. 2019, Issue 2
DOI: 10.1007/jhep02(2019)153

A defect in holographic interpretations of tensor networks
journal, March 2017

Czech, Bartlomiej; Nguyen, Phuc H.; Swaminathan, Sivaramakrishnan
Journal of High Energy Physics, Vol. 2017, Issue 3
DOI: 10.1007/jhep03(2017)090

Holographic relations for OPE blocks in excited states
journal, March 2019

Cresswell, Jesse C.; Jardine, Ian T.; Peet, Amanda W.
Journal of High Energy Physics, Vol. 2019, Issue 3
DOI: 10.1007/jhep03(2019)058

Kinematic space and the orbit method
journal, July 2019

Penna, Robert F.; Zukowski, Claire
Journal of High Energy Physics, Vol. 2019, Issue 7
DOI: 10.1007/jhep07(2019)045

Kinematic space for conical defects
journal, November 2017

Cresswell, Jesse C.; Peet, Amanda W.
Journal of High Energy Physics, Vol. 2017, Issue 11
DOI: 10.1007/jhep11(2017)155

Berry curvature, horocycles, and scattering states in ${AdS}_{3} / {CFT}_{2}$
journal, December 2019

Lévay, Péter
Physical Review D, Vol. 100, Issue 12
DOI: 10.1103/physrevd.100.126022

Towards a Fisher-Information Description of Complexity in de Sitter Universe
journal, November 2019

Chen, Chong-Bin; Shu, Fu-Wen
Universe, Vol. 5, Issue 12
DOI: 10.3390/universe5120221

Kinematic space for conical defects
text, January 2017

Cresswell, Jesse C.; Peet, Amanda W.
arXiv
DOI: 10.48550/arxiv.1708.09838

Holographic relations for OPE blocks in excited states
text, January 2018

Cresswell, Jesse C.; Jardine, Ian T.; Peet, Amanda W.
arXiv
DOI: 10.48550/arxiv.1809.09107

Similar Records in DOE PAGES and OSTI.GOV collections:

'Micromanaging de Sitter holography'

Journal Article Dong, Xi ; Horn, Bart ; /SLAC /Stanford U., Phys. Dept. /Santa Barbara, KITP ; ... - Class.Quant.Grav.27:245020,2010

We develop tools to engineer de Sitter vacua with semi-holographic duals, using elliptic fibrations and orientifolds to uplift Freund-Rubin compactifications with CFT duals. The dual brane construction is compact and constitutes a microscopic realization of the dS/dS correspondence, realizing d-dimensional de Sitter space as a warped compactification down to (d-1)-dimensional de Sitter gravity coupled to a pair of large-N matter sectors. This provides a parametric microscopic interpretation of the Gibbons-Hawking entropy. We illustrate these ideas with an explicit class of examples in three dimensions, and describe ongoing work on four-dimensional constructions. The Gibbons-Hawking entropy of the de Sitter horizon [1]more »« less
https://doi.org/10.1088/0264-9381/27/24/245020

Full Text Available
Integral geometry and holography

Journal Article Czech, Bartlomiej ; Lamprou, Lampros ; McCandlish, Samuel ; ... - Journal of High Energy Physics (Online)

We present a mathematical framework which underlies the connection between information theory and the bulk spacetime in the AdS₃/CFT₂ correspondence. A key concept is kinematic space: an auxiliary Lorentzian geometry whose metric is defined in terms of conditional mutual informations and which organizes the entanglement pattern of a CFT state. When the field theory has a holographic dual obeying the Ryu-Takayanagi proposal, kinematic space has a direct geometric meaning: it is the space of bulk geodesics studied in integral geometry. Lengths of bulk curves are computed by kinematic volumes, giving a precise entropic interpretation of the length of any bulkmore »« less
Cited by 67
https://doi.org/10.1007/JHEP10(2015)175

Full Text Available
q-deformed de Sitter/conformal field theory correspondence

Journal Article Lowe, David A - Physical Review. D, Particles Fields

Unitary principal series representations of the conformal group appear in the de Sitter/conformal field theory (dS/CFT) correspondence. These are infinite-dimensional irreducible representations, without highest weights. In earlier work of Gueijosa and the author it was shown for the case of two-dimensional de Sitter space, there was a natural q-deformation of the conformal group, with q a root of unity, where the unitary principal series representations become finite-dimensional cyclic unitary representations. Formulating a version of the dS/CFT correspondence using these representations can lead to a description with a finite-dimensional Hilbert space and unitary evolution. In the present work, we generalize tomore »« less
https://doi.org/10.1103/PhysRevD.70.104002
Higher spin de Sitter Hilbert space

Journal Article Anninos, Dionysios ; Denef, Frederik ; Monten, Ruben ; ... - Journal of High Energy Physics (Online)

We propose a complete microscopic definition of the Hilbert space of minimal higher spin de Sitter quantum gravity and its Hartle-Hawking vacuum state. The fundamental degrees of freedom are 2N bosonic fields living on the future conformal boundary, where N is proportional to the de Sitter horizon entropy. The vacuum state is normalizable. The model agrees in perturbation theory with expectations from a previously proposed dS-CFT description in terms of a fermionic Sp(N) model, but it goes beyond this, both in its conceptual scope and in its computational power. In particular it resolves the apparent pathologies affecting the Sp(N) model,more »« less
https://doi.org/10.1007/jhep10(2019)071

Full Text Available
Information paradox and its resolution in de Sitter holography

Journal Article Geng, Hao ; Nomura, Yasunori ; Sun, Hao-Yu - Physical Review D

We formulate a version of the information paradox in de Sitter spacetime and show that it is solved by the emergence of entanglement islands in the context of the De Sitter/de Sitter correspondence; in particular, the entanglement entropy of a subregion obeys a time-dependent Page curve. Our construction works in general spacetime dimensions and keeps the graviton massless. We interpret the resulting behavior of the entanglement entropy using double holography. It suggests that the spatial distribution of microscopic degrees of freedom depends on descriptions, as in the case of a black hole. In the static (distant) description of de Sittermore »« less
https://doi.org/10.1103/PhysRevD.103.126004

Similar Records

Title: Equivalence of emergent de Sitter spaces from conformal field theory

Abstract

Citation Formats

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

A covariant holographic entanglement entropy proposal journal, July 2007

Covariant constraints on hole-ography journal, September 2015

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

Building up spacetime with quantum entanglement journal, June 2010

Gravitational dynamics from entanglement “thermodynamics” journal, April 2014

Gravitation from entanglement in holographic CFTs journal, March 2014

Holographic geometry of entanglement renormalization in quantum field theories journal, October 2012

Integral geometry and holography journal, October 2015

Tensor networks from kinematic space journal, July 2016

Holographic holes in higher dimensions journal, June 2014

Holographic holes and differential entropy journal, October 2014

Holographic de Sitter Geometry from Entanglement in Conformal Field Theory journal, February 2016

Tensor network quotient takes the vacuum to the thermal state journal, August 2016

A stereoscopic look into the bulk journal, July 2016

Entanglement, holography and causal diamonds journal, August 2016

Entanglement entropy and quantum field theory journal, June 2004

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

Black hole in three-dimensional spacetime journal, September 1992

Geometry of the 2+1 black hole journal, August 1993

Holographic entanglement plateaux journal, August 2013

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

Entwinement and the emergence of spacetime journal, January 2015

Massless black holes and black rings as effective geometries of the D1–D5 system journal, October 2005

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

Operator content of two-dimensional conformally invariant theories journal, January 1986

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

Quantum dress for a naked singularity journal, September 2016

Quantum Black Holes as Holograms in AdS Braneworlds journal, August 2002

Black holes and wormholes in dimensions journal, March 1998

Multiboundary wormholes and holographic entanglement journal, September 2014

Towards a derivation of holographic entanglement entropy journal, May 2011

Relative entropy and holography journal, August 2013

Entanglement spectrum in one-dimensional systems journal, September 2008

Holographic calculations of Rényi entropy journal, December 2011

Rényi entropies of free bosons on the torus and holography journal, April 2014

Comments on Rényi entropy in AdS3/CFT2 journal, May 2014

Short interval expansion of Rényi entropy on torus journal, August 2016

Relative entropy equals bulk relative entropy journal, June 2016

De Sitter Musings journal, May 2012

Thermo-field dynamics of black holes journal, May 1976

Building up Space–Time with Quantum Entanglement journal, December 2010

A Covariant Holographic Entanglement Entropy Proposal text, January 2007

Entanglement spectrum in one-dimensional systems text, January 2008

Towards a derivation of holographic entanglement entropy text, January 2011

Holographic Geometry of Entanglement Renormalization in Quantum Field Theories text, January 2012

Holographic Holes in Higher Dimensions text, January 2014

Multiboundary Wormholes and Holographic Entanglement text, January 2014

Entwinement and the emergence of spacetime text, January 2014

Holographic Holes and Differential Entropy text, January 2014

Tensor Networks from Kinematic Space text, January 2015

A Stereoscopic Look into the Bulk text, January 2016

Geometry of the 2+1 Black Hole text, January 1993

Massless black holes and black rings as effective geometries of the D1-D5 system text, January 2005

Aspects of Holographic Entanglement Entropy text, January 2006

Topological Complexity in AdS 3 /CFT 2 journal, June 2018

Kinematic space and wormholes journal, January 2017

Holographic subregion complexity from kinematic space journal, January 2019

The gravitational dynamics of kinematic space journal, February 2019

A defect in holographic interpretations of tensor networks journal, March 2017

Holographic relations for OPE blocks in excited states journal, March 2019

Kinematic space and the orbit method journal, July 2019

Kinematic space for conical defects journal, November 2017

Berry curvature, horocycles, and scattering states in AdS 3 / CFT 2 journal, December 2019

Towards a Fisher-Information Description of Complexity in de Sitter Universe journal, November 2019

Kinematic space for conical defects text, January 2017

Holographic relations for OPE blocks in excited states text, January 2018

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

A covariant holographic entanglement entropy proposal
journal, July 2007

Covariant constraints on hole-ography
journal, September 2015

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

Building up spacetime with quantum entanglement
journal, June 2010

Gravitational dynamics from entanglement “thermodynamics”
journal, April 2014

Gravitation from entanglement in holographic CFTs
journal, March 2014

Holographic geometry of entanglement renormalization in quantum field theories
journal, October 2012

Integral geometry and holography
journal, October 2015

Tensor networks from kinematic space
journal, July 2016

Holographic holes in higher dimensions
journal, June 2014

Holographic holes and differential entropy
journal, October 2014

Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
journal, February 2016

Tensor network quotient takes the vacuum to the thermal state
journal, August 2016

A stereoscopic look into the bulk
journal, July 2016

Entanglement, holography and causal diamonds
journal, August 2016

Entanglement entropy and quantum field theory
journal, June 2004

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

Black hole in three-dimensional spacetime
journal, September 1992

Geometry of the 2+1 black hole
journal, August 1993

Holographic entanglement plateaux
journal, August 2013

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

Entwinement and the emergence of spacetime
journal, January 2015

Massless black holes and black rings as effective geometries of the D1–D5 system
journal, October 2005

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

Operator content of two-dimensional conformally invariant theories
journal, January 1986

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

Quantum dress for a naked singularity
journal, September 2016

Quantum Black Holes as Holograms in AdS Braneworlds
journal, August 2002

Black holes and wormholes in dimensions
journal, March 1998

Multiboundary wormholes and holographic entanglement
journal, September 2014

Towards a derivation of holographic entanglement entropy
journal, May 2011

Relative entropy and holography
journal, August 2013

Entanglement spectrum in one-dimensional systems
journal, September 2008

Holographic calculations of Rényi entropy
journal, December 2011

Rényi entropies of free bosons on the torus and holography
journal, April 2014

Comments on Rényi entropy in AdS3/CFT2
journal, May 2014

Short interval expansion of Rényi entropy on torus
journal, August 2016

Relative entropy equals bulk relative entropy
journal, June 2016

De Sitter Musings
journal, May 2012

Thermo-field dynamics of black holes
journal, May 1976

Building up Space–Time with Quantum Entanglement
journal, December 2010

A Covariant Holographic Entanglement Entropy Proposal
text, January 2007

Entanglement spectrum in one-dimensional systems
text, January 2008

Towards a derivation of holographic entanglement entropy
text, January 2011

Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
text, January 2012

Holographic Holes in Higher Dimensions
text, January 2014

Multiboundary Wormholes and Holographic Entanglement
text, January 2014

Entwinement and the emergence of spacetime
text, January 2014

Holographic Holes and Differential Entropy
text, January 2014

Tensor Networks from Kinematic Space
text, January 2015

A Stereoscopic Look into the Bulk
text, January 2016

Geometry of the 2+1 Black Hole
text, January 1993

Massless black holes and black rings as effective geometries of the D1-D5 system
text, January 2005

Aspects of Holographic Entanglement Entropy
text, January 2006

Topological Complexity in AdS ₃ /CFT ₂
journal, June 2018

Kinematic space and wormholes
journal, January 2017

Holographic subregion complexity from kinematic space
journal, January 2019

The gravitational dynamics of kinematic space
journal, February 2019

A defect in holographic interpretations of tensor networks
journal, March 2017

Holographic relations for OPE blocks in excited states
journal, March 2019

Kinematic space and the orbit method
journal, July 2019

Kinematic space for conical defects
journal, November 2017

Berry curvature, horocycles, and scattering states in ${AdS}_{3} / {CFT}_{2}$
journal, December 2019

Towards a Fisher-Information Description of Complexity in de Sitter Universe
journal, November 2019

Kinematic space for conical defects
text, January 2017

Holographic relations for OPE blocks in excited states
text, January 2018