Universal low temperature theory of charged black holes with AdS2 horizons

Sachdev, Subir

doi:10.1063/1.5092726

Title: Universal low temperature theory of charged black holes with AdS₂ horizons

Journal Article · Fri May 17 00:00:00 EDT 2019 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.5092726· OSTI ID:1613071

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Perimeter Inst. for Theoretical Physics, Waterloo, Ontario (Canada); Harvard Univ., Cambridge, MA (United States). Dept. of Physics

We consider the low temperature quantum theory of a charged black hole of zero temperature horizon radius R_h in a spacetime which is asymptotically AdS_D (D > 3) far from the horizon. At temperatures T ≪ 1/R_h, the near-horizon geometry is AdS₂, and the black hole is described by a universal 0+1 dimensional effective quantum theory of time diffeomorphisms with a Schwarzian action and a phase mode conjugate to the U(1) charge. We obtain this universal 0+1 dimensional effective theory starting from the full D-dimensional Einstein-Maxwell theory, while keeping quantitative track of the couplings. The couplings of the effective theory are found to be in agreement with those expected from the thermodynamics of the D-dimensional black hole.

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Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0019030

OSTI ID:: 1613071

Alternate ID(s):: OSTI ID: 1513321

Journal Information:: Journal of Mathematical Physics, Vol. 60, Issue 5; ISSN 0022-2488

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 46 works

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References (30)

A Stress Tensor for Anti-de Sitter Gravity Balasubramanian, Vijay; Kraus, Per arXiv https://doi.org/10.48550/arxiv.hep-th/9902121	text	January 1999
Black hole microstates and attractor without supersymmetry Dabholkar, Atish; Trivedi, Sandip P.; Sen, Ashoke Journal of High Energy Physics, Vol. 2007, Issue 01 https://doi.org/10.1088/1126-6708/2007/01/096	journal	January 2007
Towards a holographic marginal Fermi liquid Jensen, Kristan; Kachru, Shamit; Karch, Andreas arXiv https://doi.org/10.48550/arxiv.1105.1772	text	January 2011
Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory Parcollet, Olivier; Georges, Antoine; Kotliar, Gabriel arXiv https://doi.org/10.48550/arxiv.cond-mat/9711192	text	January 1997
Nonperturbative black hole entropy and Kloosterman sums Dabholkar, Atish; Gomes, Joao; Murthy, Sameer arXiv https://doi.org/10.48550/arxiv.1404.0033	text	January 2014
Deconstructing holographic liquids Nickel, Dominik; Son, Dam T. arXiv https://doi.org/10.48550/arxiv.1009.3094	text	January 2010
Charged AdS black holes and catastrophic holography Chamblin, Andrew; Emparan, Roberto; Johnson, Clifford V. Physical Review D, Vol. 60, Issue 6 https://doi.org/10.1103/physrevd.60.064018	journal	August 1999
An Investigation of AdS$_2$ Backreaction and Holography Engelsöy, Julius; Mertens, Thomas G.; Verlinde, Herman arXiv https://doi.org/10.48550/arxiv.1606.03438	text	January 2016
Analytical spectral density of the Sachdev-Ye-Kitaev model at finite $N$ García-García, Antonio M.; Verbaarschot, Jacobus J. M. Physical Review D, Vol. 96, Issue 6 https://doi.org/10.1103/physrevd.96.066012	journal	September 2017
Fermionic Localization of the Schwarzian Theory Stanford, Douglas; Witten, Edward arXiv https://doi.org/10.48550/arxiv.1703.04612	text	January 2017
Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space Maldacena, Juan; Stanford, Douglas; Yang, Zhenbin Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12 https://doi.org/10.1093/ptep/ptw124	journal	November 2016
Publisher’s Note: Supersymmetric Sachdev-Ye-Kitaev models [Phys. Rev. D 95 , 026009 (2017)] Fu, Wenbo; Gaiotto, Davide; Maldacena, Juan Physical Review D, Vol. 95, Issue 6 https://doi.org/10.1103/physrevd.95.069904	journal	March 2017
Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity Sen, Ashoke arXiv https://doi.org/10.48550/arxiv.hep-th/0506177	text	January 2005
Power-law out of time order correlation functions in the SYK model Bagrets, Dmitry; Altland, Alexander; Kamenev, Alex Nuclear Physics B, Vol. 921 https://doi.org/10.1016/j.nuclphysb.2017.06.012	journal	August 2017
Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass Georges, A.; Parcollet, O.; Sachdev, S. arXiv https://doi.org/10.48550/arxiv.cond-mat/0009388	text	January 2000
Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet Sachdev, Subir; Ye, Jinwu arXiv https://doi.org/10.48550/arxiv.cond-mat/9212030	text	January 1992
Holographic non-Fermi liquid fixed points Faulkner, Thomas; Iqbal, Nabil; Liu, Hong arXiv https://doi.org/10.48550/arxiv.1101.0597	text	January 2011
Holographic non-Fermi-liquid fixed points Faulkner, Tom; Iqbal, Nabil; Liu, Hong Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 369, Issue 1941 https://doi.org/10.1098/rsta.2010.0354	journal	April 2011
A note on the complex SYK model and warped CFTs Chaturvedi, Pankaj; Gu, Yingfei; Song, Wei Journal of High Energy Physics, Vol. 2018, Issue 12 https://doi.org/10.1007/jhep12(2018)101	journal	December 2018
Holography and the Weyl Anomaly Henningson, Måns; Skenderis, Kostas Fortschritte der Physik, Vol. 48, Issue 1-3 https://doi.org/10.1002/(sici)1521-3978(20001)48:1/3<125::aid-prop125>3.0.co;2-b	journal	January 2000
Charged AdS Black Holes and Catastrophic Holography Chamblin, Andrew; Emparan, Roberto; Johnson, Clifford V. arXiv https://doi.org/10.48550/arxiv.hep-th/9902170	text	January 1999
Surface terms as counterterms in the AdS-CFT correspondence Emparan, Roberto; Johnson, Clifford V.; Myers, Robert C. Physical Review D, Vol. 60, Issue 10 https://doi.org/10.1103/physrevd.60.104001	journal	October 1999
Black Holes and Random Matrices Cotler, Jordan S.; Gur-Ari, Guy; Hanada, Masanori arXiv https://doi.org/10.48550/arxiv.1611.04650	text	January 2016
Entropy function and AdS ₂ / CFT ₁ correspondence Sen, Ashoke Journal of High Energy Physics, Vol. 2008, Issue 11 https://doi.org/10.1088/1126-6708/2008/11/075	journal	November 2008
Black Hole Microstates and Attractor Without Supersymmetry Dabholkar, Atish; Sen, Ashoke; Trivedi, Sandip arXiv https://doi.org/10.48550/arxiv.hep-th/0611143	text	January 2006
Power-law out of time order correlation functions in the SYK model Bagrets, Dmitry; Altland, Alexander; Kamenev, Alex arXiv https://doi.org/10.48550/arxiv.1702.08902	text	January 2017
Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N García-García, Antonio M.; Verbaarschot, Jacobus J. M. arXiv https://doi.org/10.48550/arxiv.1701.06593	text	January 2017
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
Deconstructing holographic liquids Nickel, Dominik; Son, Dam T. New Journal of Physics, Vol. 13, Issue 7 https://doi.org/10.1088/1367-2630/13/7/075010	journal	July 2011
Black hole entropy function and the attractor mechanism in higher derivative gravity Sen, Ashoke Journal of High Energy Physics, Vol. 2005, Issue 09 https://doi.org/10.1088/1126-6708/2005/09/038	journal	September 2005

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The Scales of Black Holes with nAdS$_2$ Geometry Hong, Junho; Larsen, Finn; Liu, James T. arXiv https://doi.org/10.48550/arxiv.1907.08862	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
Black hole spectroscopy and AdS2 holography Larsen, Finn; Zeng, Yangwenxiao Journal of High Energy Physics, Vol. 2019, Issue 4 https://doi.org/10.1007/jhep04(2019)164	journal	April 2019
Traversable wormhole and Hawking-Page transition in coupled complex SYK models Sahoo, Sharmistha; Lantagne-Hurtubise, Étienne; Plugge, Stephan Physical Review Research, Vol. 2, Issue 4 https://doi.org/10.1103/physrevresearch.2.043049	journal	October 2020

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71 CLASSICAL AND QUANTUM MECHANICS
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Title: Universal low temperature theory of charged black holes with AdS2 horizons

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Title: Universal low temperature theory of charged black holes with AdS₂ horizons