A general framework for gravitational charges and holographic renormalization

Chandrasekaran, Venkatesa; Flanagan, Éanna É.; Shehzad, Ibrahim; Speranza, Antony J.

doi:10.1142/s0217751x22501056

A general framework for gravitational charges and holographic renormalization

Journal Article · 20 June 2022 · International Journal of Modern Physics A

DOI:https://doi.org/10.1142/s0217751x22501056· OSTI ID:1980827

Chandrasekaran, Venkatesa ^[1]; Flanagan, Éanna É. ^[2]; Shehzad, Ibrahim ^[2]; Speranza, Antony J. ^[3]

Berkeley Center for Theoretical Physics, Berkeley, CA 94720, USA; Institute for Advanced Study, Princeton, NJ 08540, USA; OSTI
Department of Physics, Cornell University, Ithaca, NY 14853, USA
Perimeter Institute for Theoretical Physics, 31 Caroline St. N, Waterloo, ON, N2L 2Y5, Canada; Department of Physics, University of Illinois, Urbana-Champaign, Urbana, IL 61801, USA

We develop a general framework for constructing charges associated with diffeomorphisms in gravitational theories using covariant phase space techniques. This framework encompasses both localized charges associated with space–time subregions, as well as global conserved charges of the full space–time. Expressions for the charges include contributions from the boundary and corner terms in the subregion action, and are rendered unambiguous by appealing to the variational principle for the subregion, which selects a preferred form of the symplectic flux through the boundaries. The Poisson brackets of the charges on the subregion phase space are shown to reproduce the bracket of Barnich and Troessaert for open subsystems, thereby giving a novel derivation of this bracket from first principles. In the context of asymptotic boundaries, we show that the procedure of holographic renormalization can be always applied to obtain finite charges and fluxes once suitable counterterms have been found to ensure a finite action. This enables the study of larger asymptotic symmetry groups by loosening the boundary conditions imposed at infinity. We further present an algorithm for explicitly computing the counterterms that renormalize the action and symplectic potential, and, as an application of our framework, demonstrate that it reproduces known expressions for the charges of the generalized Bondi–Metzner–Sachs algebra.

Research Organization:: Univ. of California, Oakland, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0019380; AC02-05CH11231;

OSTI ID:: 1980827

Journal Information:: International Journal of Modern Physics A, Journal Name: International Journal of Modern Physics A Journal Issue: 17 Vol. 37; ISSN 0217-751X

Publisher:: World Scientific

Country of Publication:: United States

Language:: English

References (126)

Poisson Brackets on the Space of Histories Marolf, D. Annals of Physics, Vol. 236, Issue 2 https://doi.org/10.1006/aphy.1994.1116	journal	December 1994
The Generalized Peierls Bracket Marolf, D. Annals of Physics, Vol. 236, Issue 2 https://doi.org/10.1006/aphy.1994.1117	journal	December 1994
Mathematical Methods of Classical Mechanics Arnold, V. I. Graduate Texts in Mathematics https://doi.org/10.1007/978-1-4757-1693-1	book	January 1978
Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity Brown, J. D.; Henneaux, Marc Communications in Mathematical Physics, Vol. 104, Issue 2 https://doi.org/10.1007/BF01211590	journal	June 1986
Geometric quantization and multiplicities of group representations Guillemin, V.; Sternberg, S. Inventiones Mathematicae, Vol. 67, Issue 3 https://doi.org/10.1007/BF01398934	journal	October 1982
Black holes and the second law Bekenstein, J. D. Lettere Al Nuovo Cimento Series 2, Vol. 4, Issue 15 https://doi.org/10.1007/BF02757029	journal	August 1972
Extensions of the asymptotic symmetry algebra of general relativity Flanagan, Éanna É.; Prabhu, Kartik; Shehzad, Ibrahim Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/JHEP01(2020)002	journal	January 2020
Anomalies in gravitational charge algebras of null boundaries and black hole entropy Chandrasekaran, Venkatesa; Speranza, Antony J. Journal of High Energy Physics, Vol. 2021, Issue 1 https://doi.org/10.1007/JHEP01(2021)137	journal	January 2021
Local phase space and edge modes for diffeomorphism-invariant theories Speranza, Antony J. Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)021	journal	February 2018
Gravity edges modes and Hayward term Takayanagi, Tadashi; Tamaoka, Kotaro Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/JHEP02(2020)167	journal	February 2020
Holography at finite cutoff with a T2 deformation Hartman, Thomas; Kruthoff, Jorrit; Shaghoulian, Edgar Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)004	journal	March 2019
Unambiguous phase spaces for subregions Kirklin, Josh Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)116	journal	March 2019
Conservation of asymptotic charges from past to future null infinity: supermomentum in general relativity Prabhu, Kartik Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)148	journal	March 2019
New symmetries for the gravitational S-matrix Campiglia, Miguel; Laddha, Alok Journal of High Energy Physics, Vol. 2015, Issue 4 https://doi.org/10.1007/JHEP04(2015)076	journal	April 2015
Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$ McGough, Lauren; Mezei, Márk; Verlinde, Herman Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)010	journal	April 2018
T-Witts from the horizon Adami, H.; Grumiller, D.; Sadeghian, S. Journal of High Energy Physics, Vol. 2020, Issue 4 https://doi.org/10.1007/JHEP04(2020)128	journal	April 2020
Conservation and integrability in lower-dimensional gravity Ruzziconi, Romain; Zwikel, Céline Journal of High Energy Physics, Vol. 2021, Issue 4 https://doi.org/10.1007/JHEP04(2021)034	journal	April 2021
Aspects of the BMS/CFT correspondence Barnich, Glenn; Troessaert, Cédric Journal of High Energy Physics, Vol. 2010, Issue 5 https://doi.org/10.1007/JHEP05(2010)062	journal	May 2010
BMS supertranslations and Weinberg’s soft graviton theorem He, Temple; Lysov, Vyacheslav; Mitra, Prahar Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)151	journal	May 2015
Superrotation charge and supertranslation hair on black holes Hawking, Stephen W.; Perry, Malcolm J.; Strominger, Andrew Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)161	journal	May 2017
Charge algebra in Al(A)dSn spacetimes Fiorucci, Adrien; Ruzziconi, Romain Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)210	journal	May 2021
Chiral massive news: null boundary symmetries in topologically massive gravity Adami, H.; Sheikh-Jabbari, M. M.; Taghiloo, V. Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)261	journal	May 2021
Gravitational memory in higher dimensions Pate, Monica; Raclariu, Ana-Maria; Strominger, Andrew Journal of High Energy Physics, Vol. 2018, Issue 6 https://doi.org/10.1007/JHEP06(2018)138	journal	June 2018
Coadjoint representation of the BMS group on celestial Riemann surfaces Barnich, Glenn; Ruzziconi, Romain Journal of High Energy Physics, Vol. 2021, Issue 6 https://doi.org/10.1007/JHEP06(2021)079	journal	June 2021
On BMS invariance of gravitational scattering Strominger, Andrew Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)152	journal	July 2014
Vacua of the gravitational field Compère, Geoffrey; Long, Jiang Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)137	journal	July 2016
Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix Kapec, Daniel; Lysov, Vyacheslav; Pasterski, Sabrina Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)058	journal	August 2014
Local subsystems in gauge theory and gravity Donnelly, William; Freidel, Laurent Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/JHEP09(2016)102	journal	September 2016
Entanglement wedge reconstruction and the information paradox Penington, Geoffrey Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)002	journal	September 2020
Extended actions, dynamics of edge modes, and entanglement entropy Geiller, Marc; Jai-akson, Puttarak Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)134	journal	September 2020
Asymptotic symmetries and celestial CFT Donnay, Laura; Pasterski, Sabrina; Puhm, Andrea Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)176	journal	September 2020
Gravitational edge modes, coadjoint orbits, and hydrodynamics Donnelly, William; Freidel, Laurent; Moosavian, Seyed Faroogh Journal of High Energy Physics, Vol. 2021, Issue 9 https://doi.org/10.1007/JHEP09(2021)008	journal	September 2021
3d gravity in Bondi-Weyl gauge: charges, corners, and integrability Geiller, Marc; Goeller, Christophe; Zwikel, Céline Journal of High Energy Physics, Vol. 2021, Issue 9 https://doi.org/10.1007/JHEP09(2021)029	journal	September 2021
Extended corner symmetry, charge bracket and Einstein’s equations Freidel, Laurent; Oliveri, Roberto; Pranzetti, Daniele Journal of High Energy Physics, Vol. 2021, Issue 9 https://doi.org/10.1007/JHEP09(2021)083	journal	September 2021
Asymptotic renormalization in flat space: symplectic potential and charges of electromagnetism Freidel, Laurent; Hopfmüller, Florian; Riello, Aldo Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)126	journal	October 2019
Cosmic branes and asymptotic structure Capone, F.; Taylor, M. Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)138	journal	October 2019
Symmetries at null boundaries: two and three dimensional gravity cases Adami, H.; Sheikh-Jabbari, M. M.; Taghiloo, V. Journal of High Energy Physics, Vol. 2020, Issue 10 https://doi.org/10.1007/JHEP10(2020)107	journal	October 2020
Covariant phase space with boundaries Harlow, Daniel; Wu, Jie-qiang Journal of High Energy Physics, Vol. 2020, Issue 10 https://doi.org/10.1007/JHEP10(2020)146	journal	October 2020
General null asymptotics and superrotation-compatible configuration spaces in d ≥ 4 Capone, F. Journal of High Energy Physics, Vol. 2021, Issue 10 https://doi.org/10.1007/JHEP10(2021)158	journal	October 2021
Holographic renormalization as a canonical transformation Papadimitriou, Ioannis Journal of High Energy Physics, Vol. 2010, Issue 11 https://doi.org/10.1007/JHEP11(2010)014	journal	November 2010
Symmetries and charges of general relativity at null boundaries Chandrasekaran, Venkatesa; Flanagan, Éanna É.; Prabhu, Kartik Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)125	journal	November 2018
Superboost transitions, refraction memory and super-Lorentz charge algebra Compère, Geoffrey; Fiorucci, Adrien; Ruzziconi, Romain Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)200	journal	November 2018
Edge modes of gravity. Part I. Corner potentials and charges Freidel, Laurent; Geiller, Marc; Pranzetti, Daniele Journal of High Energy Physics, Vol. 2020, Issue 11 https://doi.org/10.1007/JHEP11(2020)026	journal	November 2020
Edge modes of gravity. Part II. Corner metric and Lorentz charges Freidel, Laurent; Geiller, Marc; Pranzetti, Daniele Journal of High Energy Physics, Vol. 2020, Issue 11 https://doi.org/10.1007/JHEP11(2020)027	journal	November 2020
BMS charge algebra Barnich, Glenn; Troessaert, Cédric Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)105	journal	December 2011
Black hole entropy and soft hair Haco, Sasha; Hawking, Stephen W.; Perry, Malcolm J. Journal of High Energy Physics, Vol. 2018, Issue 12 https://doi.org/10.1007/JHEP12(2018)098	journal	December 2018
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
On asymptotic symmetries in higher dimensions for any spin Campoleoni, Andrea; Francia, Dario; Heissenberg, Carlo Journal of High Energy Physics, Vol. 2020, Issue 12 https://doi.org/10.1007/JHEP12(2020)129	journal	December 2020
A Stress Tensor for Anti-de Sitter Gravity Balasubramanian, Vijay; Kraus, Per Communications in Mathematical Physics, Vol. 208, Issue 2 https://doi.org/10.1007/s002200050764	journal	December 1999
Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence de Haro, Sebastian; Skenderis, Kostas; Solodukhin, Sergey N. Communications in Mathematical Physics, Vol. 217, Issue 3 https://doi.org/10.1007/s002200100381	journal	March 2001
Republication of: The dynamics of general relativity Arnowitt, Richard; Deser, Stanley; Misner, Charles W. General Relativity and Gravitation, Vol. 40, Issue 9 https://doi.org/10.1007/s10714-008-0661-1	journal	August 2008
Topologically massive gauge theories Deser, S.; Jackiw, R.; Templeton, S. Annals of Physics, Vol. 140, Issue 2 https://doi.org/10.1016/0003-4916(82)90164-6	journal	May 1982
Reduction of symplectic manifolds with symmetry Marsden, Jerrold; Weinstein, Alan Reports on Mathematical Physics, Vol. 5, Issue 1 https://doi.org/10.1016/0034-4877(74)90021-4	journal	February 1974
Interacting field theory of open superstrings Witten, Edward Nuclear Physics B, Vol. 276, Issue 2 https://doi.org/10.1016/0550-3213(86)90298-1	journal	October 1986
Gauge theory correlators from non-critical string theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. Physics Letters B, Vol. 428, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00377-3	journal	May 1998
Holographic renormalization Bianchi, Massimo; Freedman, Daniel Z.; Skenderis, Kostas Nuclear Physics B, Vol. 631, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00179-7	journal	June 2002
Covariant theory of asymptotic symmetries, conservation laws and central charges Barnich, Glenn; Brandt, Friedemann Nuclear Physics B, Vol. 633, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00251-1	journal	June 2002
Ads/CFT correspondence and symmetry breaking Klebanov, Igor R.; Witten, Edward Nuclear Physics B, Vol. 556, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00387-9	journal	September 1999
Edge modes and corner ambiguities in 3d Chern–Simons theory and gravity Geiller, Marc Nuclear Physics B, Vol. 924 https://doi.org/10.1016/j.nuclphysb.2017.09.010	journal	November 2017
A unified geometric framework for boundary charges and dressings: Non-Abelian theory and matter Gomes, Henrique; Hopfmüller, Florian; Riello, Aldo Nuclear Physics B, Vol. 941 https://doi.org/10.1016/j.nuclphysb.2019.02.020	journal	April 2019
A 3+1 perspective on null hypersurfaces and isolated horizons Gourgoulhon, Eric; Jaramillo, José Luis Physics Reports, Vol. 423, Issue 4-5 https://doi.org/10.1016/j.physrep.2005.10.005	journal	February 2006
Black hole explosions? Hawking, S. W. Nature, Vol. 248, Issue 5443 https://doi.org/10.1038/248030a0	journal	March 1974
Hamiltonian surface charges using external sources Troessaert, Cédric Journal of Mathematical Physics, Vol. 57, Issue 5 https://doi.org/10.1063/1.4947177	journal	May 2016
Local symmetries and constraints Lee, Joohan; Wald, Robert M. Journal of Mathematical Physics, Vol. 31, Issue 3 https://doi.org/10.1063/1.528801	journal	March 1990
On identically closed forms locally constructed from a field Wald, Robert M. Journal of Mathematical Physics, Vol. 31, Issue 10 https://doi.org/10.1063/1.528839	journal	October 1990
Asymptotically anti-de Sitter space-times Ashtekar, A.; Magnon, A. Classical and Quantum Gravity, Vol. 1, Issue 4 https://doi.org/10.1088/0264-9381/1/4/002	journal	July 1984
Conformal invariance of black hole temperature Jacobson, T.; Kang, G. Classical and Quantum Gravity, Vol. 10, Issue 11 https://doi.org/10.1088/0264-9381/10/11/002	journal	November 1993
Geometry of general hypersurfaces in spacetime: junction conditions Mars, M.; Senovilla, J. M. M. Classical and Quantum Gravity, Vol. 10, Issue 9 https://doi.org/10.1088/0264-9381/10/9/026	journal	September 1993
Asymptotically anti-de Sitter spacetimes: conserved quantities Ashtekar, Abhay; Das, Saurya Classical and Quantum Gravity, Vol. 17, Issue 2 https://doi.org/10.1088/0264-9381/17/2/101	journal	January 2000
Gravity in warped compactifications and the holographic stress tensor Haro, Sebastian de; Skenderis, Kostas; Solodukhin, Sergey N. Classical and Quantum Gravity, Vol. 18, Issue 16 https://doi.org/10.1088/0264-9381/18/16/307	journal	August 2001
Metric-based Hamiltonians, null boundaries and isolated horizons Booth, Ivan S. Classical and Quantum Gravity, Vol. 18, Issue 20 https://doi.org/10.1088/0264-9381/18/20/305	journal	October 2001
Lecture notes on holographic renormalization Skenderis, Kostas Classical and Quantum Gravity, Vol. 19, Issue 22 https://doi.org/10.1088/0264-9381/19/22/306	journal	November 2002
Comparison between various notions of conserved charges in asymptotically AdS spacetimes Hollands, Stefan; Ishibashi, Akihiro; Marolf, Donald Classical and Quantum Gravity, Vol. 22, Issue 14 https://doi.org/10.1088/0264-9381/22/14/004	journal	June 2005
Holographic renormalization of asymptotically flat spacetimes Mann, Robert B.; Marolf, Donald Classical and Quantum Gravity, Vol. 23, Issue 9 https://doi.org/10.1088/0264-9381/23/9/010	journal	March 2006
Setting the boundary free in AdS/CFT Compère, Geoffrey; Marolf, Donald Classical and Quantum Gravity, Vol. 25, Issue 19 https://doi.org/10.1088/0264-9381/25/19/195014	journal	September 2008
Gravity and hydrodynamics: lectures on the fluid-gravity correspondence Rangamani, Mukund Classical and Quantum Gravity, Vol. 26, Issue 22 https://doi.org/10.1088/0264-9381/26/22/224003	journal	October 2009
Entanglement entropy and nonabelian gauge symmetry Donnelly, William Classical and Quantum Gravity, Vol. 31, Issue 21 https://doi.org/10.1088/0264-9381/31/21/214003	journal	October 2014
Asymptotics with a positive cosmological constant: I. Basic framework Ashtekar, Abhay; Bonga, Béatrice; Kesavan, Aruna Classical and Quantum Gravity, Vol. 32, Issue 2 https://doi.org/10.1088/0264-9381/32/2/025004	journal	December 2014
On the stability of gravity with Dirichlet walls Andrade, Tomás; Kelly, William R.; Marolf, Donald Classical and Quantum Gravity, Vol. 32, Issue 23 https://doi.org/10.1088/0264-9381/32/23/235006	journal	November 2015
Asymptotic symmetries from finite boxes Andrade, Tomás; Marolf, Donald Classical and Quantum Gravity, Vol. 33, Issue 1 https://doi.org/10.1088/0264-9381/33/1/015013	journal	December 2015
Symplectic geometry of the convariant phase space Crnkovic, C. Classical and Quantum Gravity, Vol. 5, Issue 12 https://doi.org/10.1088/0264-9381/5/12/008	journal	December 1988
Black hole entropy from near-horizon microstates Strominger, Andrew Journal of High Energy Physics, Vol. 1998, Issue 02 https://doi.org/10.1088/1126-6708/1998/02/009	journal	February 1998
The holographic Weyl anomaly Henningson, M.; Skenderis, K. Journal of High Energy Physics, Vol. 1998, Issue 07 https://doi.org/10.1088/1126-6708/1998/07/023	journal	July 1998
Thermodynamics of asymptotically locally AdS spacetimes Papadimitriou, Ioannis; Skenderis, Kostas Journal of High Energy Physics, Vol. 2005, Issue 08 https://doi.org/10.1088/1126-6708/2005/08/004	journal	August 2005
Nonlinear fluid dynamics from gravity Bhattacharyya, Sayantani; Minwalla, Shiraz; Hubeny, Veronika E. Journal of High Energy Physics, Vol. 2008, Issue 02 https://doi.org/10.1088/1126-6708/2008/02/045	journal	February 2008
Superrotations and black hole pair creation Strominger, Andrew; Zhiboedov, Alexander Classical and Quantum Gravity, Vol. 34, Issue 6 https://doi.org/10.1088/1361-6382/aa5b5f	journal	February 2017
BMS supertranslations and memory in four and higher dimensions Hollands, Stefan; Ishibashi, Akihiro; Wald, Robert M. Classical and Quantum Gravity, Vol. 34, Issue 15 https://doi.org/10.1088/1361-6382/aa777a	journal	July 2017
(A)dS ₄ in Bondi gauge Poole, Aaron; Skenderis, Kostas; Taylor, Marika Classical and Quantum Gravity, Vol. 36, Issue 9 https://doi.org/10.1088/1361-6382/ab117c	journal	April 2019
The Λ-BMS ₄ group of dS ₄ and new boundary conditions for AdS ₄ Compère, Geoffrey; Fiorucci, Adrien; Ruzziconi, Romain Classical and Quantum Gravity, Vol. 36, Issue 19 https://doi.org/10.1088/1361-6382/ab3d4b	journal	September 2019
Cosmic footballs from superrotations Adjei, Eugene; Donnelly, William; Py, Victor Classical and Quantum Gravity, Vol. 37, Issue 7 https://doi.org/10.1088/1361-6382/ab74f6	journal	March 2020
Lectures on the Orbit Method Kirillov, A. https://doi.org/10.1090/gsm/064	book	January 2004
Infrared Photons and Gravitons Weinberg, Steven Physical Review, Vol. 140, Issue 2B https://doi.org/10.1103/PhysRev.140.B516	journal	October 1965
Isolated surfaces and symmetries of gravity Ciambelli, Luca; Leigh, Robert G. Physical Review D, Vol. 104, Issue 4 https://doi.org/10.1103/PhysRevD.104.046005	journal	August 2021
Asymptotic symmetries and the subleading soft graviton theorem in higher dimensions Colferai, Dimitri; Lionetti, Stefano Physical Review D, Vol. 104, Issue 6 https://doi.org/10.1103/PhysRevD.104.064010	journal	September 2021
Quantum source of entropy for black holes Bombelli, Luca; Koul, Rabinder K.; Lee, Joohan Physical Review D, Vol. 34, Issue 2 https://doi.org/10.1103/PhysRevD.34.373	journal	July 1986
Quasilocal energy and conserved charges derived from the gravitational action Brown, J. David; York, James W. Physical Review D, Vol. 47, Issue 4 https://doi.org/10.1103/PhysRevD.47.1407	journal	February 1993
Gravitational action for spacetimes with nonsmooth boundaries Hayward, Geoff Physical Review D, Vol. 47, Issue 8 https://doi.org/10.1103/PhysRevD.47.3275	journal	April 1993
Dynamical origin of the entropy of a black hole Frolov, Valery; Novikov, Igor Physical Review D, Vol. 48, Issue 10 https://doi.org/10.1103/PhysRevD.48.4545	journal	November 1993
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
On black hole entropy Jacobson, Ted; Kang, Gungwon; Myers, Robert C. Physical Review D, Vol. 49, Issue 12 https://doi.org/10.1103/PhysRevD.49.6587	journal	June 1994
Black hole entropy in canonical quantum gravity and superstring theory Susskind, Leonard; Uglum, John Physical Review D, Vol. 50, Issue 4 https://doi.org/10.1103/PhysRevD.50.2700	journal	August 1994
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
General definition of “conserved quantities” in general relativity and other theories of gravity Wald, Robert M.; Zoupas, Andreas Physical Review D, Vol. 61, Issue 8 https://doi.org/10.1103/PhysRevD.61.084027	journal	March 2000
Black Holes and Entropy Bekenstein, Jacob D. Physical Review D, Vol. 7, Issue 8 https://doi.org/10.1103/PhysRevD.7.2333	journal	April 1973
Counterterm charges generate bulk symmetries Hollands, Stefan; Ishibashi, Akihiro; Marolf, Donald Physical Review D, Vol. 72, Issue 10 https://doi.org/10.1103/PhysRevD.72.104025	journal	November 2005
Peeling of the Weyl tensor and gravitational radiation in higher dimensions Godazgar, Mahdi; Reall, Harvey S. Physical Review D, Vol. 85, Issue 8 https://doi.org/10.1103/PhysRevD.85.084021	journal	April 2012
Asymptotic symmetries and subleading soft graviton theorem Campiglia, Miguel; Laddha, Alok Physical Review D, Vol. 90, Issue 12 https://doi.org/10.1103/PhysRevD.90.124028	journal	December 2014
Quantum focusing conjecture Bousso, Raphael; Fisher, Zachary; Leichenauer, Stefan Physical Review D, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevD.93.064044	journal	March 2016
Gravitational action with null boundaries Lehner, Luis; Myers, Robert C.; Poisson, Eric Physical Review D, Vol. 94, Issue 8 https://doi.org/10.1103/PhysRevD.94.084046	journal	October 2016
Conserved charges of the extended Bondi-Metzner-Sachs algebra Flanagan, Éanna É.; Nichols, David A. Physical Review D, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevD.95.044002	journal	February 2017
Null conservation laws for gravity Hopfmüller, Florian; Freidel, Laurent Physical Review D, Vol. 97, Issue 12 https://doi.org/10.1103/PhysRevD.97.124029	journal	June 2018
Supertranslations in higher dimensions revisited Aggarwal, Ankit Physical Review D, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevD.99.026015	journal	January 2019
Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited Barnich, Glenn; Troessaert, Cédric Physical Review Letters, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevLett.105.111103	journal	September 2010
Soft Hair on Black Holes Hawking, Stephen W.; Perry, Malcolm J.; Strominger, Andrew Physical Review Letters, Vol. 116, Issue 23 https://doi.org/10.1103/PhysRevLett.116.231301	journal	June 2016
Virasoro Hair and Entropy for Axisymmetric Killing Horizons Chen, Lin-Qing; Chua, Wan Zhen; Liu, Shuwei Physical Review Letters, Vol. 125, Issue 24 https://doi.org/10.1103/PhysRevLett.125.241302	journal	December 2020
Three-Dimensional Massive Gauge Theories Deser, S.; Jackiw, R.; Templeton, S. Physical Review Letters, Vol. 48, Issue 15 https://doi.org/10.1103/PhysRevLett.48.975	journal	April 1982
Entropy and area Srednicki, Mark Physical Review Letters, Vol. 71, Issue 5 https://doi.org/10.1103/PhysRevLett.71.666	journal	August 1993
Thermodynamics of Spacetime: The Einstein Equation of State Jacobson, Ted Physical Review Letters, Vol. 75, Issue 7 https://doi.org/10.1103/PhysRevLett.75.1260	journal	August 1995
Black Hole Entropy from Conformal Field Theory in Any Dimension Carlip, S. Physical Review Letters, Vol. 82, Issue 14 https://doi.org/10.1103/PhysRevLett.82.2828	journal	April 1999
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
The entropy of Hawking radiation Almheiri, Ahmed; Hartman, Thomas; Maldacena, Juan Reviews of Modern Physics, Vol. 93, Issue 3 https://doi.org/10.1103/RevModPhys.93.035002	journal	July 2021
Asymptotically Anti-De Sitter Spacetimes and Their Stress Energy Tensor Skenderis, Kostas International Journal of Modern Physics A, Vol. 16, Issue 05 https://doi.org/10.1142/S0217751X0100386X	journal	February 2001
The Holographic Nature of Null Infinity Laddha, Alok; Prabhu, Siddharth; Raju, Suvrat SciPost Physics, Vol. 10, Issue 2 https://doi.org/10.21468/SciPostPhys.10.2.041	journal	January 2021
Higher-dimensional supertranslations and Weinberg’s soft graviton theorem Kapec, Daniel; Lysov, Vyacheslav; Pasterski, Sabrina Annals of Mathematical Sciences and Applications, Vol. 2, Issue 1 https://doi.org/10.4310/AMSA.2017.v2.n1.a2	journal	January 2017
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998
General Relativity Wald, Robert M. https://doi.org/10.7208/chicago/9780226870373.001.0001	book	January 1984

Similar Records

Holographic renormalization of cascading gauge theories

Journal Article · 2005 · Physical Review. D, Particles Fields · OSTI ID:20713586

Holographic renormalization and the electroweak precision parameters

Journal Article · 2010 · Physical Review. D, Particles Fields · OSTI ID:21432945

Conformal supergravity, twistors, and the super-BMS group

Journal Article · 1986 · Ann. Phys. (N.Y.); (United States) · OSTI ID:5210084

Related Subjects

Physics

A general framework for gravitational charges and holographic renormalization

Citation Formats

References (126)

Similar Records

Related Subjects