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

Abstract

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.

Authors:

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). Dept. of Physics and Leinweber Center for Theoretical Physics
Korea Inst. for Advanced Study, Seoul (Korea). School of Physics

Publication Date:: Fri Oct 05 00:00:00 EDT 2018

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

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

OSTI Identifier:: 1483635

Alternate Identifier(s):: OSTI ID: 1657498

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

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: 2018; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

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

Citation Formats


                    Castro, Alejandra, Larsen, Finn, and Papadimitriou, Ioannis. 5D rotating black holes and the nAdS2/nCFT1 correspondence.  United States: N. p., 2018. 
Web.  doi:10.1007/JHEP10(2018)042.

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                    Castro, Alejandra, Larsen, Finn, & Papadimitriou, Ioannis. 5D rotating black holes and the nAdS2/nCFT1 correspondence.  United States.  https://doi.org/10.1007/JHEP10(2018)042

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                    Castro, Alejandra, Larsen, Finn, and Papadimitriou, Ioannis. Fri .  
"5D rotating black holes and the nAdS2/nCFT1 correspondence".  United States.  https://doi.org/10.1007/JHEP10(2018)042.  https://www.osti.gov/servlets/purl/1483635.

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@article{osti_1483635,

  title        = {5D rotating black holes and the nAdS2/nCFT1 correspondence},

  author       = {Castro, Alejandra and Larsen, Finn and Papadimitriou, Ioannis},

  abstractNote = {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.},

  doi          = {10.1007/JHEP10(2018)042},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 10,

  volume       = 2018,

  place        = {United States},

  year         = {Fri Oct 05 00:00:00 EDT 2018},

  month        = {Fri Oct 05 00:00:00 EDT 2018}

}

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

Abstract

Citation Formats

Central charge for AdS 2 quantum gravity journal, April 2009

Chiral anomalies and AdS/CMT in two dimensions text, January 2010

Geometry of the 2+1 black hole journal, August 1993

The Spectrum in the Sachdev-Ye-Kitaev Model text, January 2016

Cosmological constant as confining U(1) charge in two-dimensional dilaton gravity journal, August 2014

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Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence text, January 2000

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Towards a bulk description of higher spin SYK text, January 2018

The spectrum in the Sachdev-Ye-Kitaev model journal, April 2016

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A practical approach to the Hamilton-Jacobi formulation of holographic renormalization journal, June 2016

Thermodynamics of Asymptotically Locally AdS Spacetimes text, January 2005

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An Investigation of AdS$_2$ Backreaction and Holography text, January 2016

Chiral anomalies and AdS/CMT in two dimensions journal, January 2011

Spontaneous breaking of conformal invariance and trace anomaly matching journal, June 2011

Three dimensional view of the SYK/AdS duality journal, September 2017

Holographic Description of AdS_2 Black Holes text, January 2008

Observables for two-dimensional black holes journal, February 1995

Symmetries, holography, and quantum phase transition in two-dimensional dilaton AdS gravity journal, May 2018

Thermodynamics of Asymptotically Locally AdS Spacetimes text, January 2005

Holographic description of AdS 2 black holes journal, November 2008

AdS 3 black holes and a stringy exclusion principle journal, December 1998

Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence journal, March 2001

AdS3 Black Holes and a Stringy Exclusion Principle text, January 1998

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space journal, November 2016

Holographic Renormalization of general dilaton-axion gravity text, January 2011

Holographic renormalization for irrelevant operators and multi-trace counterterms text, January 2011

Erratum to: AdS2 holographic dictionary journal, January 2017

Anti-de Sitter fragmentation journal, February 1999

Nearly AdS2 Sugra and the Super-Schwarzian text, January 2017

The first law of thermodynamics for Kerr–anti-de Sitter black holes journal, May 2005

All point correlation functions in SYK journal, December 2017

Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method text, January 2002

An investigation of AdS2 backreaction and holography journal, July 2016

Conformal symmetry breaking and thermodynamics of near-extremal black holes journal, October 2016

QUANTUM ENTROPY FUNCTION FROM AdS 2 / CFT 1 CORRESPONDENCE journal, September 2009

Holographic renormalization for irrelevant operators and multi-trace counterterms journal, August 2011

Diffeomorphisms and holographic anomalies journal, February 2000

Central Charge for AdS_2 Quantum Gravity text, January 2008

Logarithmic corrections to black hole entropy: the non-BPS branch journal, May 2018

Entropy functional and the holographic attractor mechanism journal, May 2018

Entropy functional and the holographic attractor mechanism text, January 2017

AdS 2 quantum gravity and string theory journal, January 1999

Universal corrections to non-extremal black hole entropy in N ≥ 2 $$ \mathcal{N}\ge 2 $$ supergravity journal, June 2015

Holographic Renormalisation and Anomalies journal, April 2001

Chaos in AdS 2 Holography journal, September 2016

Aspects of AdS2 Holography with Non-Constant Dilaton journal, March 2017

Towards a bulk description of higher spin SYK journal, May 2018

Lifshitz as a deformation of Anti-de Sitter journal, August 2013

Marginal deformations & rotating horizons journal, December 2017

Asymptotic symmetries of AdS2 and conformal group in d = 1 journal, September 1999

Holographic Renormalisation and Anomalies text, January 2001

Nearly AdS2 sugra and the super-Schwarzian journal, August 2017

Holographic anomalies conference, September 2000

Black Hole Entropy from Near-Horizon Microstates text, January 1997

Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions journal, April 2013

Spontaneous breaking of conformal invariance and trace anomaly matching journal, June 2011

Anti-de Sitter Fragmentation text, January 1998

Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch text, January 2018

Holographic renormalization as a canonical transformation journal, November 2010

Non-renormalization for non-supersymmetric black holes journal, August 2017

Models of AdS2 backreaction and holography journal, November 2015

Quantum geometry of bosonic strings journal, July 1981

Three Dimensional View of the SYK/AdS Duality text, January 2017

Black hole entropy from near-horizon microstates journal, February 1998

On the dynamics of near-extremal black holes journal, September 2018

Limitations on the Statistical Description of Black Holes journal, August 1991

Thermodynamics of asymptotically locally AdS spacetimes journal, August 2005

Holographic renormalization and Ward identities with the Hamilton–Jacobi method journal, March 2003

Dilaton gravity in two dimensions journal, October 2002

AdS$_{2}$ holography and the SYK model conference, March 2018

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

Central charge for AdS ₂ quantum gravity
journal, April 2009

Chiral anomalies and AdS/CMT in two dimensions
text, January 2010

Geometry of the 2+1 black hole
journal, August 1993

The Spectrum in the Sachdev-Ye-Kitaev Model
text, January 2016

Cosmological constant as confining U(1) charge in two-dimensional dilaton gravity
journal, August 2014

All point correlation functions in SYK
text, January 2017

The Kerr/CFT correspondence and its extensions
journal, February 2017

Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
text, January 2000

Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
journal, January 2012

Non-Renormalization For Non-Supersymmetric Black Holes
text, January 2017

Towards a bulk description of higher spin SYK
text, January 2018

The spectrum in the Sachdev-Ye-Kitaev model
journal, April 2016

Holographic renormalization of general dilaton-axion gravity
journal, August 2011

A practical approach to the Hamilton-Jacobi formulation of holographic renormalization
journal, June 2016

Thermodynamics of Asymptotically Locally AdS Spacetimes
text, January 2005

The Kerr/CFT Correspondence and its Extensions
journal, October 2012

A Practical Approach to the Hamilton-Jacobi Formulation of Holographic Renormalization
text, January 2016

Gapless spin-fluid ground state in a random quantum Heisenberg magnet
journal, May 1993

An Investigation of AdS$_2$ Backreaction and Holography
text, January 2016

Chiral anomalies and AdS/CMT in two dimensions
journal, January 2011

Spontaneous breaking of conformal invariance and trace anomaly matching
journal, June 2011

Three dimensional view of the SYK/AdS duality
journal, September 2017

Holographic Description of AdS_2 Black Holes
text, January 2008

Observables for two-dimensional black holes
journal, February 1995

Symmetries, holography, and quantum phase transition in two-dimensional dilaton AdS gravity
journal, May 2018

Thermodynamics of Asymptotically Locally AdS Spacetimes
text, January 2005

Holographic description of AdS ₂ black holes
journal, November 2008

AdS ₃ black holes and a stringy exclusion principle
journal, December 1998

Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
journal, March 2001

AdS3 Black Holes and a Stringy Exclusion Principle
text, January 1998

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space
journal, November 2016

Holographic Renormalization of general dilaton-axion gravity
text, January 2011

Holographic renormalization for irrelevant operators and multi-trace counterterms
text, January 2011

Erratum to: AdS2 holographic dictionary
journal, January 2017

Anti-de Sitter fragmentation
journal, February 1999

Nearly AdS2 Sugra and the Super-Schwarzian
text, January 2017

The first law of thermodynamics for Kerr–anti-de Sitter black holes
journal, May 2005

All point correlation functions in SYK
journal, December 2017

Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method
text, January 2002

An investigation of AdS2 backreaction and holography
journal, July 2016

Conformal symmetry breaking and thermodynamics of near-extremal black holes
journal, October 2016

QUANTUM ENTROPY FUNCTION FROM AdS ₂ / CFT ₁ CORRESPONDENCE
journal, September 2009

Holographic renormalization for irrelevant operators and multi-trace counterterms
journal, August 2011

Diffeomorphisms and holographic anomalies
journal, February 2000

Central Charge for AdS_2 Quantum Gravity
text, January 2008

Logarithmic corrections to black hole entropy: the non-BPS branch
journal, May 2018

Entropy functional and the holographic attractor mechanism
journal, May 2018

Entropy functional and the holographic attractor mechanism
text, January 2017

AdS ₂ quantum gravity and string theory
journal, January 1999

Universal corrections to non-extremal black hole entropy in N ≥ 2 $$ \mathcal{N}\ge 2 $$ supergravity
journal, June 2015

Holographic Renormalisation and Anomalies
journal, April 2001

Chaos in ${AdS}_{2}$ Holography
journal, September 2016

Aspects of AdS2 Holography with Non-Constant Dilaton
journal, March 2017

Towards a bulk description of higher spin SYK
journal, May 2018

Lifshitz as a deformation of Anti-de Sitter
journal, August 2013

Marginal deformations & rotating horizons
journal, December 2017

Asymptotic symmetries of AdS2 and conformal group in d = 1
journal, September 1999

Holographic Renormalisation and Anomalies
text, January 2001

Nearly AdS2 sugra and the super-Schwarzian
journal, August 2017

Holographic anomalies
conference, September 2000

Black Hole Entropy from Near-Horizon Microstates
text, January 1997

Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions
journal, April 2013

Spontaneous breaking of conformal invariance and trace anomaly matching
journal, June 2011

Anti-de Sitter Fragmentation
text, January 1998

Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch
text, January 2018

Holographic renormalization as a canonical transformation
journal, November 2010

Non-renormalization for non-supersymmetric black holes
journal, August 2017

Models of AdS2 backreaction and holography
journal, November 2015

Quantum geometry of bosonic strings
journal, July 1981

Three Dimensional View of the SYK/AdS Duality
text, January 2017

Black hole entropy from near-horizon microstates
journal, February 1998

On the dynamics of near-extremal black holes
journal, September 2018

Limitations on the Statistical Description of Black Holes
journal, August 1991

Thermodynamics of asymptotically locally AdS spacetimes
journal, August 2005

Holographic renormalization and Ward identities with the Hamilton–Jacobi method
journal, March 2003

Dilaton gravity in two dimensions
journal, October 2002

AdS$_{2}$ holography and the SYK model
conference, March 2018

Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence
text, January 2001

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
journal, June 1986