Holographic black hole chemistry
Abstract
Thermodynamic quantities associated with black holes in Anti-de Sitter space obey an interesting identity when the cosmological constant is included as one of the dynamical variables, the generalized Smarr relation. We show that this relation can easily be understood from the point of view of the dual holographic field theory. It amounts to the simple statement that the extensive thermodynamic quantities of a large N gauge theory only depend on the number of colors, N, via an overall factor of N square.
- Authors:
-
- Univ. of Washington, Seattle, WA (United States)
- Publication Date:
- Research Org.:
- Univ. of Washington, Seattle, WA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1436111
- Alternate Identifier(s):
- OSTI ID: 1595199
- Grant/Contract Number:
- SC0011637
- 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: 2015; Journal Issue: 12; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; AdS-CFT Correspondence; Black Holes
Citation Formats
Karch, Andreas, and Robinson, Brandon. Holographic black hole chemistry. United States: N. p., 2015.
Web. doi:10.1007/JHEP12(2015)073.
Karch, Andreas, & Robinson, Brandon. Holographic black hole chemistry. United States. https://doi.org/10.1007/JHEP12(2015)073
Karch, Andreas, and Robinson, Brandon. Mon .
"Holographic black hole chemistry". United States. https://doi.org/10.1007/JHEP12(2015)073. https://www.osti.gov/servlets/purl/1436111.
@article{osti_1436111,
title = {Holographic black hole chemistry},
author = {Karch, Andreas and Robinson, Brandon},
abstractNote = {Thermodynamic quantities associated with black holes in Anti-de Sitter space obey an interesting identity when the cosmological constant is included as one of the dynamical variables, the generalized Smarr relation. We show that this relation can easily be understood from the point of view of the dual holographic field theory. It amounts to the simple statement that the extensive thermodynamic quantities of a large N gauge theory only depend on the number of colors, N, via an overall factor of N square.},
doi = {10.1007/JHEP12(2015)073},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2015,
place = {United States},
year = {Mon Dec 14 00:00:00 EST 2015},
month = {Mon Dec 14 00:00:00 EST 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Cited by: 89 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
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
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
journal, January 1998
- Witten, Edward
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 3
Enthalpy and the mechanics of AdS black holes
journal, September 2009
- Kastor, David; Ray, Sourya; Traschen, Jennie
- Classical and Quantum Gravity, Vol. 26, Issue 19
Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories
journal, December 1999
- Caldarelli, Marco M.; Cognola, Guido; Klemm, Dietmar
- Classical and Quantum Gravity, Vol. 17, Issue 2
The first law of thermodynamics for Kerr–anti-de Sitter black holes
journal, May 2005
- Gibbons, G. W.; Perry, M. J.; Pope, C. N.
- Classical and Quantum Gravity, Vol. 22, Issue 9
Smarr formula and an extended first law for Lovelock gravity
journal, November 2010
- Kastor, David; Ray, Sourya; Traschen, Jennie
- Classical and Quantum Gravity, Vol. 27, Issue 23
Black hole chemistry
journal, September 2015
- Kubizňák, David; Mann, Robert B.
- Canadian Journal of Physics, Vol. 93, Issue 9
Mass Formula for Kerr Black Holes
journal, January 1973
- Smarr, Larry
- Physical Review Letters, Vol. 30, Issue 2
Black holes in higher dimensional space-times
journal, December 1986
- Myers, R. C.; Perry, M. J.
- Annals of Physics, Vol. 172, Issue 2
Chemical potential in the first law for holographic entanglement entropy
journal, November 2014
- Kastor, David; Ray, Sourya; Traschen, Jennie
- Journal of High Energy Physics, Vol. 2014, Issue 11
Holographic heat engines
journal, October 2014
- Johnson, Clifford V.
- Classical and Quantum Gravity, Vol. 31, Issue 20
Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in AdS5 × S5 spacetime
journal, February 2015
- Zhang, Jia-Lin; Cai, Rong-Gen; Yu, Hongwei
- Journal of High Energy Physics, Vol. 2015, Issue 2
Holographic entanglement entropy and the extended phase structure of STU black holes
journal, September 2015
- Caceres, Elena; Nguyen, Phuc H.; Pedraza, Juan F.
- Journal of High Energy Physics, Vol. 2015, Issue 9
Anti de Sitter space and holography
journal, January 1998
- Witten, Edward
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2
Aspects of holography for theories with hyperscaling violation
journal, June 2012
- Dong, Xi; Harrison, Sarah; Kachru, Shamit
- Journal of High Energy Physics, Vol. 2012, Issue 6
Notes on properties of holographic matter
journal, November 2009
- Karch, A.; Kulaxizi, M.; Parnachev, A.
- Journal of High Energy Physics, Vol. 2009, Issue 11
P − V criticality of charged AdS black holes
journal, July 2012
- Kubizňák, David; Mann, Robert B.
- Journal of High Energy Physics, Vol. 2012, Issue 7
Multiple reentrant phase transitions and triple points in Lovelock thermodynamics
journal, September 2014
- Frassino, Antonia M.; Kubizňák, David; Mann, Robert B.
- Journal of High Energy Physics, Vol. 2014, Issue 9
Isolated critical point from Lovelock gravity
journal, November 2014
- Dolan, Brian P.; Kostouki, Anna; Kubizňák, David
- Classical and Quantum Gravity, Vol. 31, Issue 24
Adding flavor to AdS/CFT
journal, June 2002
- Karch, Andreas; Katz, Emanuel
- Journal of High Energy Physics, Vol. 2002, Issue 06
Works referencing / citing this record:
Born–Infeld AdS black holes as heat engines
journal, May 2016
- Johnson, Clifford V.
- Classical and Quantum Gravity, Vol. 33, Issue 13
Gauss–Bonnet black holes and holographic heat engines beyond large N
journal, October 2016
- Johnson, Clifford V.
- Classical and Quantum Gravity, Vol. 33, Issue 21
Black hole chemistry: thermodynamics with Lambda
journal, March 2017
- Kubizňák, David; Mann, Robert B.; Teo, Mae
- Classical and Quantum Gravity, Vol. 34, Issue 6
Holographic heat engines: general considerations and rotating black holes
journal, July 2017
- Hennigar, Robie A.; McCarthy, Fiona; Ballon, Alvaro
- Classical and Quantum Gravity, Vol. 34, Issue 17
Hyperscaling violating black holes with spherical and hyperbolic horizons
journal, February 2019
- Pedraza, Juan F.; Sybesma, Watse; Visser, Manus R.
- Classical and Quantum Gravity, Vol. 36, Issue 5
Conical holographic heat engines
journal, October 2019
- Ahmed, Wasif; Chen, Hong Zhe; Gesteau, Elliott
- Classical and Quantum Gravity, Vol. 36, Issue 21
Weak cosmic censorship with pressure and volume in charged anti-de Sitter black hole under charged scalar field
journal, August 2019
- Gwak, Bogeun
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 08
Van der Waals like behavior of topological AdS black holes in massive gravity
journal, January 2017
- Hendi, S. H.; Mann, R. B.; Panahiyan, S.
- Physical Review D, Vol. 95, Issue 2
Black holes in Einsteinian cubic gravity
journal, March 2017
- Hennigar, Robie A.; Mann, Robert B.
- Physical Review D, Vol. 95, Issue 6
Critical phenomena and chemical potential of a charged AdS black hole
journal, December 2017
- Wei, Shao-Wen; Liang, Bin; Liu, Yu-Xiao
- Physical Review D, Vol. 96, Issue 12
On thermodynamics of charged AdS black holes in extended phases space via M2-branes background
journal, June 2016
- Chabab, M.; El Moumni, H.; Masmar, K.
- The European Physical Journal C, Vol. 76, Issue 6
Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
journal, October 2016
- Mo, Jie-Xiong; Li, Gu-Qiang; Xu, Xiao-Bao
- The European Physical Journal C, Vol. 76, Issue 10
Criticality and extended phase space thermodynamics of AdS black holes in higher curvature massive gravity
journal, March 2019
- Hendi, Seyed Hossein; Dehghani, Ali
- The European Physical Journal C, Vol. 79, Issue 3
Gauss-Bonnet Black Holes and Holographic Heat Engines Beyond Large N
text, January 2015
- Johnson, Clifford V.
- arXiv
Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
text, January 2016
- Mo, Jie-Xiong; Li, Gu-Qiang; Xu, Xiao-Bao
- arXiv
Black holes in Einsteinian cubic gravity
text, January 2016
- Hennigar, Robie A.; Mann, Robert B.
- arXiv
van der Waals like behaviour of topological AdS black holes in massive gravity
text, January 2017
- Hendi, S. H.; Mann, R. B.; Panahiyan, S.
- arXiv
Critical phenomena and chemical potential of charged AdS black hole
text, January 2017
- Wei, Shao-Wen; Liang, Bin; Liu, Yu-Xiao
- arXiv
Conical Holographic Heat Engines
text, January 2019
- Ahmed, Wasif; Chen, Hong Zhe; Gesteau, Elliott
- arXiv