5D rotating black holes and the nAdS2/nCFT1 correspondence

Castro, Alejandra; Larsen, Finn; Papadimitriou, Ioannis

doi:10.1007/JHEP10(2018)042

Title: 5D rotating black holes and the nAdS₂/nCFT₁ correspondence

Journal Article · 04 October 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP10(2018)042 · OSTI ID:1483635

Castro, Alejandra ^[1]; Larsen, Finn ^[2];

^[3]

Univ. of Amsterdam, Amsterdam (The Netherlands). Inst. for Theoretical Physics Amsterdam and Delta Inst. for Theoretical Physics; Univ. of Michigan, Ann Arbor, MI (United States)
Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Physics and Leinweber Center for Theoretical Physics
Korea Inst. for Advanced Study, Seoul (Korea). School of Physics

Here, we study rotating black holes in five dimensions using the nAdS₂/nCFT₁ correspondence. A consistent truncation of pure Einstein gravity (with a cosmological constant) in five dimensions to two dimensions gives a generalization of the Jackiw-Teitelboim theory that has two scalar fields: a dilaton and a squashing parameter that breaks spherical symmetry. The interplay between these two scalar fields is non trivial and leads to interesting new features. We study the holographic description of this theory and apply the results to the thermodynamics of the rotating black hole from a two dimensional point of view. This setup challenges notions of universality that have been advanced based on simpler models: we find that the mass gap of Kerr-AdS₅ corresponds to an undetermined effective coupling in the nAdS₂/nCFT₁ theory which depends on ultraviolet data.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: Dutch Ministry of Education, Culture and Science (OCW); USDOE; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: FG02-95ER40899; SC0007859

OSTI ID:: 1483635

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (85)

Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction Goutéraux, Blaise; Smolic, Jelena; Smolic, Milena Journal of High Energy Physics, Vol. 2012, Issue 1 https://doi.org/10.1007/jhep01(2012)089	journal	January 2012
A practical approach to the Hamilton-Jacobi formulation of holographic renormalization Elvang, Henriette; Hadjiantonis, Marios Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/jhep06(2016)046	journal	June 2016
All point correlation functions in SYK Gross, David J.; Rosenhaus, Vladimir Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/jhep12(2017)148	journal	December 2017
Spontaneous breaking of conformal invariance and trace anomaly matching Schwimmer, A.; Theisen, S. Nuclear Physics B, Vol. 847, Issue 3 https://doi.org/10.1016/j.nuclphysb.2011.02.003	journal	June 2011
Cosmological constant as confining U(1) charge in two-dimensional dilaton gravity Grumiller, Daniel; McNees, Robert; Salzer, Jakob Physical Review D, Vol. 90, Issue 4 https://doi.org/10.1103/physrevd.90.044032	journal	August 2014
Symmetries, holography, and quantum phase transition in two-dimensional dilaton AdS gravity Cadoni, Mariano; Ciulu, Matteo; Tuveri, Matteo Physical Review D, Vol. 97, Issue 10 https://doi.org/10.1103/physrevd.97.103527	journal	May 2018
Holographic anomalies Schwimmer, Adam Proceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000) https://doi.org/10.22323/1.006.0006	conference	September 2000
Thermodynamics of Asymptotically Locally AdS Spacetimes Papadimitriou, Ioannis; Skenderis, Kostas arXiv https://doi.org/10.48550/arxiv.hep-th/0505190	text	January 2005
Asymptotic symmetries of AdS_2 and conformal group in d=1 Cadoni, Mariano; Mignemi, Salvatore arXiv https://doi.org/10.48550/arxiv.hep-th/9902040	text	January 1999
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
Chiral anomalies and AdS/CMT in two dimensions Jensen, Kristan Journal of High Energy Physics, Vol. 2011, Issue 1 https://doi.org/10.1007/JHEP01(2011)109	journal	January 2011
Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction Goutéraux, Blaise; Smolic, Jelena; Smolic, Milena Journal of High Energy Physics, Vol. 2012, Issue 1 https://doi.org/10.1007/JHEP01(2012)089	journal	January 2012
Erratum to: AdS2 holographic dictionary Cvetič, Mirjam; Papadimitriou, Ioannis Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)120	journal	January 2017
Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions Sen, Ashoke Journal of High Energy Physics, Vol. 2013, Issue 4 https://doi.org/10.1007/JHEP04(2013)156	journal	April 2013
The spectrum in the Sachdev-Ye-Kitaev model Polchinski, Joseph; Rosenhaus, Vladimir Journal of High Energy Physics, Vol. 2016, Issue 4 https://doi.org/10.1007/JHEP04(2016)001	journal	April 2016
Logarithmic corrections to black hole entropy: the non-BPS branch Castro, Alejandra; Godet, Victor; Larsen, Finn Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)079	journal	May 2018
Towards a bulk description of higher spin SYK González, Hernán A.; Grumiller, Daniel; Salzer, Jakob Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)083	journal	May 2018
Entropy functional and the holographic attractor mechanism Cabo-Bizet, Alejandro; Kol, Uri; Pando Zayas, Leopoldo A. Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)155	journal	May 2018
Universal corrections to non-extremal black hole entropy in N ≥ 2 $$ \mathcal{N}\ge 2 $$ supergravity Charles, Anthony M.; Larsen, Finn Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)200	journal	June 2015
A practical approach to the Hamilton-Jacobi formulation of holographic renormalization Elvang, Henriette; Hadjiantonis, Marios Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)046	journal	June 2016
An investigation of AdS2 backreaction and holography Engelsöy, Julius; Mertens, Thomas G.; Verlinde, Herman Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)139	journal	July 2016
Holographic renormalization for irrelevant operators and multi-trace counterterms van Rees, Balt C. Journal of High Energy Physics, Vol. 2011, Issue 8 https://doi.org/10.1007/JHEP08(2011)093	journal	August 2011
Holographic renormalization of general dilaton-axion gravity Papadimitriou, Ioannis Journal of High Energy Physics, Vol. 2011, Issue 8 https://doi.org/10.1007/JHEP08(2011)119	journal	August 2011
Lifshitz as a deformation of Anti-de Sitter Korovin, Yegor; Skenderis, Kostas; Taylor, Marika Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)026	journal	August 2013
Non-renormalization for non-supersymmetric black holes Charles, Anthony M.; Larsen, Finn; Mayerson, Daniel R. Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)048	journal	August 2017
Three dimensional view of the SYK/AdS duality Das, Sumit R.; Jevicki, Antal; Suzuki, Kenta Journal of High Energy Physics, Vol. 2017, Issue 9 https://doi.org/10.1007/JHEP09(2017)017	journal	September 2017
On the dynamics of near-extremal black holes Nayak, Pranjal; Shukla, Ashish; Soni, Ronak M. Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/JHEP09(2018)048	journal	September 2018
Conformal symmetry breaking and thermodynamics of near-extremal black holes Almheiri, Ahmed; Kang, Byungwoo Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)052	journal	October 2016
Menagerie of AdS2 boundary conditions Grumiller, Daniel; McNees, Robert; Salzer, Jakob Journal of High Energy Physics, Vol. 2017, Issue 10 https://doi.org/10.1007/JHEP10(2017)203	journal	October 2017
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
Models of AdS2 backreaction and holography Almheiri, Ahmed; Polchinski, Joseph Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)014	journal	November 2015
Marginal deformations & rotating horizons Anninos, Dionysios; Anous, Tarek; D’Agnolo, Raffaele Tito Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)095	journal	December 2017
All point correlation functions in SYK Gross, David J.; Rosenhaus, Vladimir Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)148	journal	December 2017
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
Aspects of AdS2 Holography with Non-Constant Dilaton Grumiller, D.; Salzer, J.; Vassilevich, D. Russian Physics Journal, Vol. 59, Issue 11 https://doi.org/10.1007/s11182-017-0978-x	journal	March 2017
The Kerr/CFT correspondence and its extensions Compère, Geoffrey Living Reviews in Relativity, Vol. 20, Issue 1 https://doi.org/10.1007/s41114-017-0003-2	journal	February 2017
Quantum geometry of bosonic strings Polyakov, A. M. Physics Letters B, Vol. 103, Issue 3 https://doi.org/10.1016/0370-2693(81)90743-7	journal	July 1981
Dilaton gravity in two dimensions Grumiller, D.; Kummer, W.; Vassilevich, D. V. Physics Reports, Vol. 369, Issue 4 https://doi.org/10.1016/S0370-1573(02)00267-3	journal	October 2002
Holographic renormalization and Ward identities with the Hamilton–Jacobi method Martelli, Dario; Mück, Wolfgang Nuclear Physics B, Vol. 654, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00060-9	journal	March 2003
Asymptotic symmetries of AdS2 and conformal group in d = 1 Cadoni, Mariano; Mignemi, Salvatore Nuclear Physics B, Vol. 557, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00398-3	journal	September 1999
Spontaneous breaking of conformal invariance and trace anomaly matching Schwimmer, A.; Theisen, S. Nuclear Physics B, Vol. 847, Issue 3 https://doi.org/10.1016/j.nuclphysb.2011.02.003	journal	June 2011
Nearly AdS2 sugra and the super-Schwarzian Förste, Stefan; Golla, Iris Physics Letters B, Vol. 771 https://doi.org/10.1016/j.physletb.2017.05.039	journal	August 2017
Diffeomorphisms and holographic anomalies Imbimbo, C.; Schwimmer, A.; Theisen, S. Classical and Quantum Gravity, Vol. 17, Issue 5 https://doi.org/10.1088/0264-9381/17/5/322	journal	February 2000
The first law of thermodynamics for Kerr–anti-de Sitter black holes Gibbons, G. W.; Perry, M. J.; Pope, C. N. Classical and Quantum Gravity, Vol. 22, Issue 9 https://doi.org/10.1088/0264-9381/22/9/002	journal	May 2005
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
AdS ₃ black holes and a stringy exclusion principle Maldacena, Juan; Strominger, Andrew Journal of High Energy Physics, Vol. 1998, Issue 12 https://doi.org/10.1088/1126-6708/1998/12/005	journal	December 1998
AdS ₂ quantum gravity and string theory Strominger, Andrew Journal of High Energy Physics, Vol. 1999, Issue 01 https://doi.org/10.1088/1126-6708/1999/01/007	journal	January 1999
Anti-de Sitter fragmentation Maldacena, Juan; Michelson, Jeremy; Strominger, Andrew Journal of High Energy Physics, Vol. 1999, Issue 02 https://doi.org/10.1088/1126-6708/1999/02/011	journal	February 1999
Holographic Renormalisation and Anomalies Kalkkinen, Jussi; Martelli, Dario; Mück, Wolfgang Journal of High Energy Physics, Vol. 2001, Issue 04 https://doi.org/10.1088/1126-6708/2001/04/036	journal	April 2001
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
Holographic description of AdS ₂ black holes Castro, Alejandra; Grumiller, Daniel; Larsen, Finn Journal of High Energy Physics, Vol. 2008, Issue 11 https://doi.org/10.1088/1126-6708/2008/11/052	journal	November 2008
Central charge for AdS ₂ quantum gravity Hartman, Thomas; Strominger, Andrew Journal of High Energy Physics, Vol. 2009, Issue 04 https://doi.org/10.1088/1126-6708/2009/04/026	journal	April 2009
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
Geometry of the 2+1 black hole Bañados, Máximo; Henneaux, Marc; Teitelboim, Claudio Physical Review D, Vol. 48, Issue 4 https://doi.org/10.1103/PhysRevD.48.1506	journal	August 1993
Observables for two-dimensional black holes Gegenberg, J.; Kunstatter, G.; Louis-Martinez, D. Physical Review D, Vol. 51, Issue 4 https://doi.org/10.1103/PhysRevD.51.1781	journal	February 1995
Chaos in AdS 2 Holography Jensen, Kristan Physical Review Letters, Vol. 117, Issue 11 https://doi.org/10.1103/PhysRevLett.117.111601	journal	September 2016
Gapless spin-fluid ground state in a random quantum Heisenberg magnet Sachdev, Subir; Ye, Jinwu Physical Review Letters, Vol. 70, Issue 21 https://doi.org/10.1103/PhysRevLett.70.3339	journal	May 1993
Limitations on the Statistical Description of Black Holes Preskill, John; Schwarz, Patricia; Shapere, Alfred Modern Physics Letters A, Vol. 06, Issue 26 https://doi.org/10.1142/S0217732391002773	journal	August 1991
QUANTUM ENTROPY FUNCTION FROM AdS ₂ / CFT ₁ CORRESPONDENCE Sen, Ashoke International Journal of Modern Physics A, Vol. 24, Issue 23 https://doi.org/10.1142/S0217751X09045893	journal	September 2009
The Kerr/CFT Correspondence and its Extensions Compère, Geoffrey Living Reviews in Relativity, Vol. 15, Issue 1 https://doi.org/10.12942/lrr-2012-11	journal	October 2012
Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence De Haro, S.; Skenderis, K.; Solodukhin, Sn Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.22093	text	January 2001
AdS$_{2}$ holography and the SYK model Sarosi, Gabor Proceedings of XIII Modave Summer School in Mathematical Physics — PoS(Modave2017) https://doi.org/10.22323/1.323.0001	conference	March 2018
AdS/CFT correspondence and geometry Papadimitriou, Ioannis; Skenderis, Kostas IRMA Lectures in Mathematics and Theoretical Physics, p. 73-101 https://doi.org/10.4171/013-1/4	book	May 2005
Central Charge for AdS_2 Quantum Gravity Hartman, Thomas; Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.0803.3621	text	January 2008
Holographic Description of AdS_2 Black Holes Castro, Alejandra; Grumiller, Daniel; Larsen, Finn arXiv https://doi.org/10.48550/arxiv.0809.4264	text	January 2008
Chiral anomalies and AdS/CMT in two dimensions Jensen, Kristan arXiv https://doi.org/10.48550/arxiv.1012.4831	text	January 2010
Holographic renormalization for irrelevant operators and multi-trace counterterms van Rees, Balt C. arXiv https://doi.org/10.48550/arxiv.1102.2239	text	January 2011
Holographic Renormalization of general dilaton-axion gravity Papadimitriou, Ioannis arXiv https://doi.org/10.48550/arxiv.1106.4826	text	January 2011
The Spectrum in the Sachdev-Ye-Kitaev Model Polchinski, Joseph; Rosenhaus, Vladimir arXiv https://doi.org/10.48550/arxiv.1601.06768	text	January 2016
A Practical Approach to the Hamilton-Jacobi Formulation of Holographic Renormalization Elvang, Henriette; Hadjiantonis, Marios arXiv https://doi.org/10.48550/arxiv.1603.04485	text	January 2016
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
Non-Renormalization For Non-Supersymmetric Black Holes Charles, Anthony M.; Larsen, Finn; Mayerson, Daniel R. arXiv https://doi.org/10.48550/arxiv.1702.08458	text	January 2017
Nearly AdS2 Sugra and the Super-Schwarzian Forste, Stefan; Golla, Iris arXiv https://doi.org/10.48550/arxiv.1703.10969	text	January 2017
Three Dimensional View of the SYK/AdS Duality Das, Sumit R.; Jevicki, Antal; Suzuki, Kenta arXiv https://doi.org/10.48550/arxiv.1704.07208	text	January 2017
All point correlation functions in SYK Gross, David J.; Rosenhaus, Vladimir arXiv https://doi.org/10.48550/arxiv.1710.08113	text	January 2017
Entropy functional and the holographic attractor mechanism Cabo-Bizet, Alejandro; Kol, Uri; Zayas, Leopoldo A. Pando arXiv https://doi.org/10.48550/arxiv.1712.01849	text	January 2017
Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch Castro, Alejandra; Godet, Victor; Larsen, Finn arXiv https://doi.org/10.48550/arxiv.1801.01926	text	January 2018
Towards a bulk description of higher spin SYK González, Hernán A.; Grumiller, Daniel; Salzer, Jakob arXiv https://doi.org/10.48550/arxiv.1802.01562	text	January 2018
Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence de Haro, Sebastian; Skenderis, Kostas; Solodukhin, Sergey N. arXiv https://doi.org/10.48550/arxiv.hep-th/0002230	text	January 2000
Holographic Renormalisation and Anomalies Kalkkinen, Jussi; Martelli, Dario; Mueck, Wolfgang arXiv https://doi.org/10.48550/arxiv.hep-th/0103111	text	January 2001
Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method Martelli, Dario; Mueck, Wolfgang arXiv https://doi.org/10.48550/arxiv.hep-th/0205061	text	January 2002
Thermodynamics of Asymptotically Locally AdS Spacetimes Papadimitriou, Ioannis; Skenderis, Kostas arXiv https://doi.org/10.48550/arxiv.hep-th/0505190	text	January 2005
Black Hole Entropy from Near-Horizon Microstates Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.hep-th/9712251	text	January 1997
AdS3 Black Holes and a Stringy Exclusion Principle Maldacena, Juan; Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.hep-th/9804085	text	January 1998
Anti-de Sitter Fragmentation Maldacena, Juan; Michelson, Jeremy; Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.hep-th/9812073	text	January 1998

Cited By (5)

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
Eigenstate thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach Nayak, Pranjal; Sonner, Julian; Vielma, Manuel Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)019	journal	October 2019
The scales of black holes with nAdS2 geometry Hong, Junho; Larsen, Finn; Liu, James T. Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)260	journal	October 2019
Jackiw-Teitelboim gravity and rotating black holes Moitra, Upamanyu; Sake, Sunil Kumar; Trivedi, Sandip P. Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/jhep11(2019)047	journal	November 2019
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

Similar Records

A nAttractor mechanism for nAdS₂/nCFT₁ holography

Journal Article · 2019 · Journal of High Energy Physics (Online) · OSTI ID:1610288

Larsen, Finn

Black hole spectroscopy and AdS₂ holography

Journal Article · 2019 · Journal of High Energy Physics (Online) · OSTI ID:1610289

Larsen, Finn; Zeng, Yangwenxiao

A one-loop test of the near-AdS₂/near-CFT₁ correspondence

Journal Article · 2020 · Journal of High Energy Physics (Online) · OSTI ID:1659099

Charles, Anthony M.; Larsen, Finn

Related Subjects

2D Gravity
79 ASTRONOMY AND ASTROPHYSICS
AdS-CFT Correspondence
Black Holes

Title: 5D rotating black holes and the nAdS2/nCFT1 correspondence

Citation Formats

References (85)

Cited By (5)

Similar Records

Related Subjects

Title: 5D rotating black holes and the nAdS₂/nCFT₁ correspondence