Relative entropy equals bulk relative entropy

Jafferis, Daniel L.; Lewkowycz, Aitor; Maldacena, Juan; Suh, S. Josephine

doi:10.1007/JHEP06(2016)004

Title: Relative entropy equals bulk relative entropy

Journal Article · Wed Jun 01 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP06(2016)004· OSTI ID:1327000

Jafferis, Daniel L. ^[1]; Lewkowycz, Aitor ^[2]; Maldacena, Juan ^[3]; Suh, S. Josephine ^[4]

Harvard Univ., Cambridge, MA (United States). Center for Fundamental Laws of Nature
Princeton Univ., NJ (United States)
Inst. for Advanced Study, Princeton, NJ (United States)
Kavli Inst. for Theoretical Physics, Santa Barbara, CA (United States); Univ. of British Columbia, Vancouver, BC (Canada). Dept. of Physics and Astronomy

We consider the gravity dual of the modular Hamiltonian associated to a general subregion of a boundary theory. We use it to argue that the relative entropy of nearby states is given by the relative entropy in the bulk, to leading order in the bulk gravitational coupling. We also argue that the boundary modular flow is dual to the bulk modular flow in the entanglement wedge, with implications for entanglement wedge reconstruction.

View Accepted Manuscript (DOE)

Cite

Export

Save

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

Sponsoring Organization:: USDOE; National Science Foundation (NSF); Natural Sciences and Engineering Research Council of Canada (NSERC); Simons Foundation

Grant/Contract Number:: SC0009988; PHY-1352084; PHY-1314198; PHY11-25915; 376206

OSTI ID:: 1327000

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 6; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 272 works

Citation information provided by
Web of Science

References (47)

Relative entropy and the Bekenstein bound Casini, H. Classical and Quantum Gravity, Vol. 25, Issue 20 https://doi.org/10.1088/0264-9381/25/20/205021	journal	September 2008
Relative entropy and holography Blanco, David D.; Casini, Horacio; Hung, Ling-Yan Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)060	journal	August 2013
Gravitation from entanglement in holographic CFTs Faulkner, Thomas; Guica, Monica; Hartman, Thomas Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)051	journal	March 2014
Locality of Gravitational Systems from Entanglement of Conformal Field Theories Lin, Jennifer; Marcolli, Matilde; Ooguri, Hirosi Physical Review Letters, Vol. 114, Issue 22 https://doi.org/10.1103/PhysRevLett.114.221601	journal	June 2015
Canonical energy is quantum Fisher information Lashkari, Nima; Van Raamsdonk, Mark Journal of High Energy Physics, Vol. 2016, Issue 4 https://doi.org/10.1007/JHEP04(2016)153	journal	April 2016
Towards a derivation of holographic entanglement entropy Casini, Horacio; Huerta, Marina; Myers, Robert C. Journal of High Energy Physics, Vol. 2011, Issue 5 https://doi.org/10.1007/JHEP05(2011)036	journal	May 2011
Entanglement Entropy of Electromagnetic Edge Modes Donnelly, William; Wall, Aron C. Physical Review Letters, Vol. 114, Issue 11 https://doi.org/10.1103/PhysRevLett.114.111603	journal	March 2015
Black hole entropy and entropy of entanglement Kabat, Daniel Nuclear Physics B, Vol. 453, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00443-V	journal	October 1995
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence Ryu, Shinsei; Takayanagi, Tadashi Physical Review Letters, Vol. 96, Issue 18 https://doi.org/10.1103/PhysRevLett.96.181602	journal	May 2006
A covariant holographic entanglement entropy proposal Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi Journal of High Energy Physics, Vol. 2007, Issue 07 https://doi.org/10.1088/1126-6708/2007/07/062	journal	July 2007
Quantum corrections to holographic entanglement entropy Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)074	journal	November 2013
The four laws of black hole mechanics Bardeen, J. M.; Carter, B.; Hawking, S. W. Communications in Mathematical Physics, Vol. 31, Issue 2 https://doi.org/10.1007/BF01645742	journal	June 1973
Black hole entropy is the Noether charge Wald, Robert M. Physical Review D, Vol. 48, Issue 8 https://doi.org/10.1103/PhysRevD.48.R3427	journal	October 1993
Some properties of the Noether charge and a proposal for dynamical black hole entropy Iyer, Vivek; Wald, Robert M. Physical Review D, Vol. 50, Issue 2 https://doi.org/10.1103/PhysRevD.50.846	journal	July 1994
Rényi entropy, stationarity, and entanglement of the conformal scalar Lee, Jeongseog; Lewkowycz, Aitor; Perlmutter, Eric Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)075	journal	March 2015
Stability of Black Holes and Black Branes Hollands, Stefan; Wald, Robert M. Communications in Mathematical Physics, Vol. 321, Issue 3 https://doi.org/10.1007/s00220-012-1638-1	journal	December 2012
Reduced density matrix and internal dynamics for multicomponent regions Casini, H.; Huerta, M. Classical and Quantum Gravity, Vol. 26, Issue 18 https://doi.org/10.1088/0264-9381/26/18/185005	journal	September 2009
Bulk locality and quantum error correction in AdS/CFT Almheiri, Ahmed; Dong, Xi; Harlow, Daniel Journal of High Energy Physics, Vol. 2015, Issue 4 https://doi.org/10.1007/JHEP04(2015)163	journal	April 2015
The gravity dual of a density matrix Czech, Bartłomiej; Karczmarek, Joanna L.; Nogueira, Fernando Classical and Quantum Gravity, Vol. 29, Issue 15 https://doi.org/10.1088/0264-9381/29/15/155009	journal	July 2012
Causality & holographic entanglement entropy Headrick, Matthew; Hubeny, Veronika E.; Lawrence, Albion Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)162	journal	December 2014
Eternal black holes in anti-de Sitter Maldacena, Juan Journal of High Energy Physics, Vol. 2003, Issue 04 https://doi.org/10.1088/1126-6708/2003/04/021	journal	April 2003
Cool horizons for entangled black holes Maldacena, J.; Susskind, L. Fortschritte der Physik, Vol. 61, Issue 9 https://doi.org/10.1002/prop.201300020	journal	August 2013
The off-shell black hole Carlip, Steven; Teitelboim, Claudio Classical and Quantum Gravity, Vol. 12, Issue 7 https://doi.org/10.1088/0264-9381/12/7/011	journal	July 1995
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy Wall, Aron C. Classical and Quantum Gravity, Vol. 31, Issue 22 https://doi.org/10.1088/0264-9381/31/22/225007	journal	November 2014
Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography Morrison, Ian A. Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)053	journal	May 2014
An infalling observer in AdS/CFT Papadodimas, Kyriakos; Raju, Suvrat Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)212	journal	October 2013
Coarse-grained entropy and causal holographic information in AdS/CFT Kelly, William R.; Wall, Aron C. Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)118	journal	March 2014
Entanglement Equilibrium and the Einstein Equation Jacobson, Ted Physical Review Letters, Vol. 116, Issue 20 https://doi.org/10.1103/PhysRevLett.116.201101	journal	May 2016
Aspects of entanglement entropy for gauge theories Soni, Ronak M.; Trivedi, Sandip P. Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)136	journal	January 2016
Black holes: complementarity or firewalls? Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph Journal of High Energy Physics, Vol. 2013, Issue 2 https://doi.org/10.1007/JHEP02(2013)062	journal	February 2013
An apologia for firewalls Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/JHEP09(2013)018	journal	September 2013
Gauge-Gravity Duality and the Black Hole Interior Marolf, Donald; Polchinski, Joseph Physical Review Letters, Vol. 111, Issue 17 https://doi.org/10.1103/PhysRevLett.111.171301	journal	October 2013
A Covariant Holographic Entanglement Entropy Proposal Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi arXiv https://doi.org/10.48550/arxiv.0705.0016	text	January 2007
Relative entropy and the Bekenstein bound Casini, H. arXiv https://doi.org/10.48550/arxiv.0804.2182	text	January 2008
Towards a derivation of holographic entanglement entropy Casini, Horacio; Huerta, Marina; Myers, Robert C. arXiv https://doi.org/10.48550/arxiv.1102.0440	text	January 2011
An Infalling Observer in AdS/CFT Papadodimas, Kyriakos; Raju, Suvrat arXiv https://doi.org/10.48550/arxiv.1211.6767	text	January 2012
Cool horizons for entangled black holes Maldacena, Juan; Susskind, Leonard arXiv https://doi.org/10.48550/arxiv.1306.0533	text	January 2013
Quantum corrections to holographic entanglement entropy Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan arXiv https://doi.org/10.48550/arxiv.1307.2892	text	January 2013
Gauge/Gravity Duality and the Black Hole Interior Marolf, Donald; Polchinski, Joseph arXiv https://doi.org/10.48550/arxiv.1307.4706	text	January 2013
Coarse-grained entropy and causal holographic information in AdS/CFT Kelly, William R.; Wall, Aron C. arXiv https://doi.org/10.48550/arxiv.1309.3610	text	January 2013
Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography Morrison, Ian A. arXiv https://doi.org/10.48550/arxiv.1403.3426	text	January 2014
Causality & holographic entanglement entropy Headrick, Matthew; Hubeny, Veronika E.; Lawrence, Albion arXiv https://doi.org/10.48550/arxiv.1408.6300	text	January 2014
Entanglement Equilibrium and the Einstein Equation Jacobson, Ted arXiv https://doi.org/10.48550/arxiv.1505.04753	text	January 2015
Canonical Energy is Quantum Fisher Information Lashkari, Nima; Van Raamsdonk, Mark arXiv https://doi.org/10.48550/arxiv.1508.00897	text	January 2015
Black Hole Entropy is Noether Charge Wald, Robert M. arXiv https://doi.org/10.48550/arxiv.gr-qc/9307038	text	January 1993
The Off-Shell Black Hole Carlip, S.; Teitelboim, C. arXiv https://doi.org/10.48550/arxiv.gr-qc/9312002	text	January 1993
Black Hole Entropy and Entropy of Entanglement Kabat, Daniel arXiv https://doi.org/10.48550/arxiv.hep-th/9503016	text	January 1995

Cited By (64)

Superselection sectors of gravitational subregions Camps, Joan Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/jhep01(2019)182	journal	January 2019
Probing typical black hole microstates de Boer, Jan; van Breukelen, Rik; Lokhande, Sagar F. Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/jhep01(2020)062	journal	January 2020
The holographic dual of the entanglement wedge symplectic form Kirklin, Josh Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/jhep01(2020)071	journal	January 2020
Nearly AdS2 holography in quantum CGHS model Hirano, Shinji; Lei, Yang Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/jhep01(2020)178	journal	January 2020
Expanding the black hole interior: partially entangled thermal states in SYK Goel, Akash; Lam, Ho Tat; Turiaci, Gustavo J. Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/jhep02(2019)156	journal	February 2019
No simple dual to the causal holographic information? Engelhardt, Netta; Wall, Aron C. Journal of High Energy Physics, Vol. 2017, Issue 4 https://doi.org/10.1007/jhep04(2017)134	journal	April 2017
Gravity from entanglement and RG flow in a top-down approach Kwon, O-Kab; Jang, Dongmin; Kim, Yoonbai Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/jhep05(2018)009	journal	May 2018
Holographic complexity in Vaidya spacetimes. Part I Chapman, Shira; Marrochio, Hugo; Myers, Robert C. Journal of High Energy Physics, Vol. 2018, Issue 6 https://doi.org/10.1007/jhep06(2018)046	journal	June 2018
Connecting Fisher information to bulk entanglement in holography Banerjee, Souvik; Erdmenger, Johanna; Sarkar, Debajyoti Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/jhep08(2018)001	journal	August 2018
Spectrum of modular Hamiltonian in the vacuum and excited states Das, Suchetan; Ezhuthachan, Bobby Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)009	journal	October 2019
Subsystem trace distance in low-lying states of (1 + 1)-dimensional conformal field theories Zhang, Jiaju; Ruggiero, Paola; Calabrese, Pasquale Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)181	journal	October 2019
Symmetries, charges and conservation laws at causal diamonds in general relativity Chandrasekaran, Venkatesa; Prabhu, Kartik Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)229	journal	October 2019
Quantum tasks in holography May, Alex Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)233	journal	October 2019
On volumes of subregions in holography and complexity Ben-Ami, Omer; Carmi, Dean Journal of High Energy Physics, Vol. 2016, Issue 11 https://doi.org/10.1007/jhep11(2016)129	journal	November 2016
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald Journal of High Energy Physics, Vol. 2019, Issue 12 https://doi.org/10.1007/jhep12(2019)063	journal	December 2019
The Ryu–Takayanagi Formula from Quantum Error Correction Harlow, Daniel Communications in Mathematical Physics, Vol. 354, Issue 3 https://doi.org/10.1007/s00220-017-2904-z	journal	May 2017
News versus information Hollands, Stefan; Ishibashi, Akihiro Classical and Quantum Gravity, Vol. 36, Issue 19 https://doi.org/10.1088/1361-6382/ab3c1e	journal	September 2019
Entanglement Hamiltonians in 1D free lattice models after a global quantum quench Di Giulio, Giuseppe; Arias, Raúl; Tonni, Erik Journal of Statistical Mechanics: Theory and Experiment, Vol. 2019, Issue 12 https://doi.org/10.1088/1742-5468/ab4e8f	journal	December 2019
Modular Hamiltonians on the null plane and the Markov property of the vacuum state Casini, Horacio; Testé, Eduardo; Torroba, Gonzalo Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 36 https://doi.org/10.1088/1751-8121/aa7eaa	journal	August 2017
Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem Giudici, G.; Mendes-Santos, T.; Calabrese, P. Physical Review B, Vol. 98, Issue 13 https://doi.org/10.1103/physrevb.98.134403	journal	October 2018
Entanglement entropy and subregion complexity in thermal perturbations around pure AdS spacetime Bhattacharya, Aranya; Grosvenor, Kevin T.; Roy, Shibaji Physical Review D, Vol. 100, Issue 12 https://doi.org/10.1103/physrevd.100.126004	journal	December 2019
First law of entanglement rates from holography O’Bannon, Andy; Probst, Jonas; Rodgers, Ronnie Physical Review D, Vol. 96, Issue 6 https://doi.org/10.1103/physrevd.96.066028	journal	September 2017
Pulling the boundary into the bulk Nomura, Yasunori; Rath, Pratik; Salzetta, Nico Physical Review D, Vol. 98, Issue 2 https://doi.org/10.1103/physrevd.98.026010	journal	July 2018
Complete Einstein equations from the generalized First Law of Entanglement Oh, Eunseok; Park, I. Y.; Sin, Sang-Jin Physical Review D, Vol. 98, Issue 2 https://doi.org/10.1103/physrevd.98.026020	journal	July 2018
Relative entropy for coherent states from Araki formula Casini, Horacio; Grillo, Sergio; Pontello, Diego Physical Review D, Vol. 99, Issue 12 https://doi.org/10.1103/physrevd.99.125020	journal	June 2019
Subsystem Trace Distance in Quantum Field Theory Zhang, Jiaju; Ruggiero, Paola; Calabrese, Pasquale Physical Review Letters, Vol. 122, Issue 14 https://doi.org/10.1103/physrevlett.122.141602	journal	April 2019
Entanglement Spectrum of Chiral Fermions on the Torus Fries, Pascal; Reyes, Ignacio A. Physical Review Letters, Vol. 123, Issue 21 https://doi.org/10.1103/physrevlett.123.211603	journal	November 2019
Entanglement wedge reconstruction and entanglement of purification Espíndola, Ricardo; Güijosa, Alberto; Pedraza, Juan F. The European Physical Journal C, Vol. 78, Issue 8 https://doi.org/10.1140/epjc/s10052-018-6140-2	journal	August 2018
Bulk entanglement entropy in perturbative excited states Belin, Alexandre; Iqbal, Nabil; Lokhande, Sagar F. SciPost Physics, Vol. 5, Issue 3 https://doi.org/10.21468/scipostphys.5.3.024	journal	January 2018
The holographic dual of the entanglement wedge symplectic form Kirklin, Josh Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.53403	text	January 2020
Quantum tasks in holography May, Alex University of British Columbia https://doi.org/10.14288/1.0401122	text	January 2021
The holographic dual of the entanglement wedge symplectic form Kirklin, Josh Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.63253	text	January 2020
Equivalence of Emergent de Sitter Spaces from Conformal Field Theory Asplund, Curtis T.; Callebaut, Nele; Zukowski, Claire arXiv https://doi.org/10.48550/arxiv.1604.02687	text	January 2016
Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition Faulkner, Thomas; Leigh, Robert G.; Parrikar, Onkar arXiv https://doi.org/10.48550/arxiv.1605.08072	text	January 2016
Entanglement Entropy and Duality Radicevic, Djordje arXiv https://doi.org/10.48550/arxiv.1605.09396	preprint	January 2016
The Ryu-Takayanagi Formula from Quantum Error Correction Harlow, Daniel arXiv https://doi.org/10.48550/arxiv.1607.03901	text	January 2016
Deriving covariant holographic entanglement Dong, Xi; Lewkowycz, Aitor; Rangamani, Mukund arXiv https://doi.org/10.48550/arxiv.1607.07506	text	January 2016
Modular Hamiltonians on the null plane and the Markov property of the vacuum state Casini, Horacio; Teste, Eduardo; Torroba, Gonzalo arXiv https://doi.org/10.48550/arxiv.1703.10656	text	January 2017
Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields Sárosi, Gábor; Ugajin, Tomonori arXiv https://doi.org/10.48550/arxiv.1705.01486	text	January 2017
Local phase space and edge modes for diffeomorphism-invariant theories Speranza, Antony J. arXiv https://doi.org/10.48550/arxiv.1706.05061	text	January 2017
Complete Einstein equation from the generalized First Law of Entanglement Oh, Eunseok; Park, I. Y.; Sin, Sang-Jin arXiv https://doi.org/10.48550/arxiv.1709.05752	text	January 2017
Entanglement of purification: from spin chains to holography Nguyen, Phuc; Devakul, Trithep; Halbasch, Matthew G. arXiv https://doi.org/10.48550/arxiv.1709.07424	text	January 2017
Gravity from Entanglement and RG Flow in a Top-down Approach Jang, Dongmin; Kim, Yoonbai; Kwon, O-Kab arXiv https://doi.org/10.48550/arxiv.1712.09101	preprint	January 2017
Entanglement Wedge Reconstruction and Entanglement of Purification Espíndola, Ricardo; Guijosa, Alberto; Pedraza, Juan F. arXiv https://doi.org/10.48550/arxiv.1804.05855	text	January 2018
On the interior geometry of a typical black hole microstate de Boer, Jan; van Breukelen, Rik; Lokhande, Sagar F. arXiv https://doi.org/10.48550/arxiv.1804.10580	text	January 2018
The holographic entropy zoo May, Alex; Hijano, Eliot arXiv https://doi.org/10.48550/arxiv.1806.06077	text	January 2018
Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK Goel, Akash; Lam, Ho Tat; Turiaci, Gustavo J. arXiv https://doi.org/10.48550/arxiv.1807.03916	text	January 2018
Learning the Alpha-bits of Black Holes Hayden, Patrick; Penington, Geoffrey arXiv https://doi.org/10.48550/arxiv.1807.06041	text	January 2018
Entanglement negativity and minimal entanglement wedge cross sections in holographic theories Kudler-Flam, Jonah; Ryu, Shinsei arXiv https://doi.org/10.48550/arxiv.1808.00446	text	January 2018
Flat entanglement spectra in fixed-area states of quantum gravity Dong, Xi; Harlow, Daniel; Marolf, Donald arXiv https://doi.org/10.48550/arxiv.1811.05382	text	January 2018
Quantum Null Energy Condition and its (non)saturation in 2d CFTs Ecker, Christian; Grumiller, Daniel; van der Schee, Wilke arXiv https://doi.org/10.48550/arxiv.1901.04499	text	January 2019
Entanglement Wedge Reconstruction using the Petz Map Chen, Chi-Fang; Penington, Geoffrey; Salton, Grant arXiv https://doi.org/10.48550/arxiv.1902.02844	text	January 2019
Relative entropy for coherent states from Araki formula Casini, Horacio; Grillo, Sergio; Pontello, Diego arXiv https://doi.org/10.48550/arxiv.1903.00109	text	January 2019
Entanglement Entropy of Two Coupled SYK Models and Eternal Traversable Wormhole Chen, Yiming; Zhang, Pengfei arXiv https://doi.org/10.48550/arxiv.1903.10532	text	January 2019
Entanglement Entropy and Subregion Complexity in Thermal Perturbations around Pure-AdS Spacetime Bhattacharya, Aranya; Grosvenor, Kevin T.; Roy, Shibaji arXiv https://doi.org/10.48550/arxiv.1905.02220	text	January 2019
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald arXiv https://doi.org/10.48550/arxiv.1905.08762	text	January 2019
Entanglement entropy and superselection sectors I. Global symmetries Casini, Horacio; Huerta, Marina; Magan, Javier M. arXiv https://doi.org/10.48550/arxiv.1905.10487	text	January 2019
Spectrum of Modular Hamiltonian in the Vacuum and Excited States Das, Suchetan; Ezhuthachan, Bobby arXiv https://doi.org/10.48550/arxiv.1906.00726	text	January 2019
Symmetries, charges and conservation laws at causal diamonds in general relativity Chandrasekaran, Venkatesa; Prabhu, Kartik arXiv https://doi.org/10.48550/arxiv.1908.00017	text	January 2019
Large Breakdowns of Entanglement Wedge Reconstruction Akers, Chris; Leichenauer, Stefan; Levine, Adam arXiv https://doi.org/10.48550/arxiv.1908.03975	text	January 2019
Entanglement Wedges from Information Metric in Conformal Field Theories Suzuki, Yuki; Takayanagi, Tadashi; Umemoto, Koji arXiv https://doi.org/10.48550/arxiv.1908.09939	text	January 2019
Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT Fu, Zicao; Marolf, Donald arXiv https://doi.org/10.48550/arxiv.1909.02505	text	January 2019
The Holographic Dual of the Entanglement Wedge Symplectic Form Kirklin, Josh arXiv https://doi.org/10.48550/arxiv.1910.00457	text	January 2019
Nearly AdS$_2$ holography in quantum CGHS model Hirano, Shinji; Lei, Yang arXiv https://doi.org/10.48550/arxiv.1910.12542	text	January 2019

Similar Records

Deriving covariant holographic entanglement

Journal Article · Mon Nov 07 00:00:00 EST 2016 · Journal of High Energy Physics (Online) · OSTI ID:1327000

Dong, Xi; Lewkowycz, Aitor; Rangamani, Mukund

Entropy, extremality, euclidean variations, and the equations of motion

Journal Article · Wed Jan 17 00:00:00 EST 2018 · Journal of High Energy Physics (Online) · OSTI ID:1327000

Dong, Xi; Lewkowycz, Aitor

A general proof of the quantum null energy condition

Journal Article · Tue Sep 03 00:00:00 EDT 2019 · Journal of High Energy Physics (Online) · OSTI ID:1327000

Balakrishnan, Srivatsan; Faulkner, Thomas; Khandker, Zuhair U.; +1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AdS-CFT Correspondence
1/N Expansion
Models of Quantum Gravity
Field Theories in Higher Dimensions

Title: Relative entropy equals bulk relative entropy

Citation Formats

References (47)

Cited By (64)

Similar Records

Related Subjects