The DOI matches its Crossref record; 51 of the 51 references it cites were found in a registry or an index.
Surface terms as counterterms in the AdS-CFT correspondence
Open accessAbstract
We examine the recently proposed technique of adding boundary counterterms to the gravitational action for spacetimes which are locally asymptotic to anti--de Sitter spacetimes. In particular, we explicitly identify higher order counterterms, which allow us to consider spacetimes of dimensions $d<~7.$ As the counterterms eliminate the need of ``background subtraction'' in calculating the action, we apply this technique to study examples where the appropriate background was ambiguous or unknown: topological black holes, Taub-NUT-AdS and Taub-Bolt-AdS. We also identify certain cases where the covariant counterterms fail to render the action finite, and we comment on the dual field theory interpretation of this result. In some examples, the case of a vanishing cosmological constant may be recovered in a limit, which allows us to check results and resolve ambiguities in certain asymptotically flat spacetime computations in the literature.
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“Traditionally this accomplished either by the method of background subtraction, or, in the case of asymptotically AdS spacetimes including a local counterterm action [18,345].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [18]
In the citing paper
“In holography the leading result for the partition function, valid at large central charge, which we denote generically by c , is given by an appropriately regularized version of the on-shell action of the Euclidean black hole or whichever other classical saddle dominates in the bulk, [55]”
From Scrambling the spectral form factor: Unitarity constraints and exact results (2017) · cites this paper as [55]
In the citing paper
“As in holographic renormalization [17][18][19][20][21], a tower of higher-derivative corrections to the d-dimensional Einstein-Hilbert action are induced by the holographic cutoff CFT d .”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [18]
In the citing paper
“These divergences may be removed via holographic renormalization, a prescription that adds appropriate local counterterms [17][18][19][20][21] in a minimal subtraction scheme.”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [18]
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
Gauge theory correlators from non-critical string theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00377-3 · Cited by 9,307
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1982) · doi:10.1017/cbo9780511622632 · Cited by 8,354
Wald, R. M. (1984) · doi:10.7208/chicago/9780226870373.001.0001 · Cited by 7,188
Wald, R. M. (1984) · Cited by 6,274
Exact Solutions of Einstein's Field Equations
Stephani, H., Krämer, D., MacCallum, M. A. H., Hoenselaers, C., & Herlt, E. (2003) · Cambridge University Press eBooks · doi:10.1017/cbo9780511535185 · Cited by 4,644
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915
Action integrals and partition functions in quantum gravity
Gibbons, G. W., & Hawking, S. W. (1977) · Physical Review D · doi:10.1103/physrevd.15.2752 · Cited by 3,449
Thermodynamics of black holes in anti-de Sitter space
Hawking, S. W., & Page, D. N. (1983) · Communications in Mathematical Physics · doi:10.1007/bf01208266 · Cited by 3,045
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Lecture notes on holographic renormalization
Skenderis, K. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/22/306 · Cited by 1,628
P − V criticality of charged AdS black holes
Kubizňák, D., & Mann, R. B. (2012) · Journal of High Energy Physics · doi:10.1007/jhep07(2012)033 · Cited by 1,254
Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
Haro, S. D., Skenderis, K., & Solodukhin, S. N. (2000) · CERN Document Server (European Organization for Nuclear Research) · Cited by 983
Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories
Caldarelli, M. M., Cognola, G., & Klemm, D. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/2/310 · Cited by 822
Black hole chemistry: thermodynamics with Lambda
Kubizňák, D., Mann, R. B., & Teo, M. (2017) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aa5c69 · Cited by 914
Metadata
- Authors
- Emparan, R., Johnson, C. V., & Myers, R. C.
- Affiliations
- University of the Basque Country (ES)
- University of Kentucky (US)
- McGill University (CA)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1999-10-01
- Volume
- 60
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2137060839
- Cited by
- 703
- References
- 49
- Citations by year
- 2026: 19 · 2025: 27 · 2024: 31 · 2023: 48 · 2022: 30 · 2021: 46 · 2020: 37 · 2019: 33 · 2018: 24 · 2017: 27 · 2016: 26 · 2015: 12 · 2014: 31 · 2013: 17 · 2012: 32
- FWCI
- 21.23
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona) (publishedVersion)
- RECERCAT (Consorci de Serveis Universitaris de Catalunya) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Hispana (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9733173)
- Natural Sciences and Engineering Research Council of Canada
- Engineering and Physical Sciences Research Council
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- AdS/CFT correspondence, counterterms, boundary counterterms, asymptotically AdS spacetimes, topological black holes, background subtraction, finite action, vanishing cosmological constant, asymptotically flat spacetimes, holography
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