Small black holes and near-extremal CFTs

Benjamin, Nathan; Dyer, Ethan; Fitzpatrick, A. Liam; Maloney, Alexander; Perlmutter, Eric

doi:10.1007/JHEP08(2016)023

Title: Small black holes and near-extremal CFTs

Abstract

Pure theories of AdS₃ quantum gravity are conjectured to be dual to CFTs with sparse spectra of light primary operators. The sparsest possible spectrum consistent with modular invariance includes only black hole states above the vacuum. Witten conjectured the existence of a family of extremal CFTs, which realize this spectrum for all admissible values of the central charge. We consider the quantum corrections to the classical spectrum, and propose a specific modification of Witten’s conjecture which takes into account the existence of “small” black hole states. These have zero classical horizon area, with a calculable entropy attributed solely to loop effects. Lastly, our conjecture passes various consistency checks, especially when generalized to include theories with supersymmetry. In theories with N = 2 supersymmetry, this “near-extremal CFT” proposal precisely evades the no-go results of Gaberdiel et al.

Authors:

Benjamin, Nathan ^[1]; Dyer, Ethan ^[1]; Fitzpatrick, A. Liam ^[2]; Maloney, Alexander ^[3]; Perlmutter, Eric ^[4]

Stanford Institute for Theoretical Physics, Stanford, CA (United States)
Boston Univ., Boston, MA (United States)
McGill Univ., Montreal, QC (Canada)
Princeton Univ., Princeton, NJ (United States)

Publication Date:: Tue Aug 02 00:00:00 EDT 2016

Research Org.:: Argonne National Laboratory (ANL), Argonne, IL (United States). Advanced Photon Source (APS)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1373289

Grant/Contract Number:: AC02-76SF00515

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: 2016; Journal Issue: 8; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; AdS-CFT correspondence; Black Holes; field theories in lower dimensions; conformal and W symmetry

Citation Formats


                    Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam, Maloney, Alexander, and Perlmutter, Eric. Small black holes and near-extremal CFTs.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP08(2016)023.

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                    Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam, Maloney, Alexander, & Perlmutter, Eric. Small black holes and near-extremal CFTs.  United States.  https://doi.org/10.1007/JHEP08(2016)023

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                    Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam, Maloney, Alexander, and Perlmutter, Eric. Tue .  
"Small black holes and near-extremal CFTs".  United States.  https://doi.org/10.1007/JHEP08(2016)023.  https://www.osti.gov/servlets/purl/1373289.

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@article{osti_1373289,

  title        = {Small black holes and near-extremal CFTs},

  author       = {Benjamin, Nathan and Dyer, Ethan and Fitzpatrick, A. Liam and Maloney, Alexander and Perlmutter, Eric},

  abstractNote = {Pure theories of AdS3 quantum gravity are conjectured to be dual to CFTs with sparse spectra of light primary operators. The sparsest possible spectrum consistent with modular invariance includes only black hole states above the vacuum. Witten conjectured the existence of a family of extremal CFTs, which realize this spectrum for all admissible values of the central charge. We consider the quantum corrections to the classical spectrum, and propose a specific modification of Witten’s conjecture which takes into account the existence of “small” black hole states. These have zero classical horizon area, with a calculable entropy attributed solely to loop effects. Lastly, our conjecture passes various consistency checks, especially when generalized to include theories with supersymmetry. In theories with N = 2 supersymmetry, this “near-extremal CFT” proposal precisely evades the no-go results of Gaberdiel et al.},

  doi          = {10.1007/JHEP08(2016)023},

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

  number       = 8,

  volume       = 2016,

  place        = {United States},

  year         = {Tue Aug 02 00:00:00 EDT 2016},

  month        = {Tue Aug 02 00:00:00 EDT 2016}

}

Copy to clipboard

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Cited by: 14 works

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Works referenced in this record:

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Causality constraints on corrections to the graviton three-point coupling
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Emergent space-time and the supersymmetric index
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Genus two partition functions of extremal conformal field theories
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AdS ₃ black holes and a stringy exclusion principle
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Maldacena, Juan; Strominger, Andrew
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String-corrected black holes
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Works referencing / citing this record:

A cardy formula for three-point coefficients or how the black hole got its spots
journal, May 2017

Kraus, Per; Maloney, Alexander
Journal of High Energy Physics, Vol. 2017, Issue 5
DOI: 10.1007/jhep05(2017)160

Quantum Regge trajectories and the Virasoro analytic bootstrap
journal, May 2019

Collier, Scott; Gobeil, Yan; Maxfield, Henry
Journal of High Energy Physics, Vol. 2019, Issue 5
DOI: 10.1007/jhep05(2019)212

Charged structure constants from modularity
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Das, Diptarka; Datta, Shouvik; Pal, Sridip
Journal of High Energy Physics, Vol. 2017, Issue 11
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Black holes and class groups
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Benjamin, Nathan; Kachru, Shamit; Ono, Ken
Research in the Mathematical Sciences, Vol. 5, Issue 4
DOI: 10.1007/s40687-018-0164-y

Charged structure constants from modularity
text, January 2017

Das, Diptarka; Datta, Shouvik; Pal, Sridip
ETH Zurich
DOI: 10.3929/ethz-b-000220012

Black holes and class groups
preprint, January 2018

Benjamin, Nathan; Kachru, Shamit; Ono, Ken
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Quantum Regge Trajectories and the Virasoro Analytic Bootstrap
text, January 2018

Collier, Scott; Gobeil, Yan; Maxfield, Henry
arXiv
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The Most Irrational Rational Theories
text, January 2018

Benjamin, Nathan; Dyer, Ethan; Fitzpatrick, A. Liam
arXiv
DOI: 10.48550/arxiv.1812.07579

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Title: Small black holes and near-extremal CFTs

Abstract

Citation Formats

Extremal Black Holes and Elementary String States journal, September 1995

Exact Counting of Supersymmetric Black Hole Microstates journal, June 2005

Precision counting of small black holes journal, October 2005

Quantum gravity partition functions in three dimensions journal, February 2010

Topologically massive supergravity journal, January 1983

Universal spectrum of 2d conformal field theory in the large c limit journal, September 2014

Universality of long-distance AdS physics from the CFT bootstrap journal, August 2014

Causality constraints in conformal field theory journal, May 2016

Split states, entropy enigmas, holes and halos journal, November 2011

Rademacher sums, moonshine and gravity journal, January 2011

Corrections to macroscopic supersymmetric black-hole entropy journal, April 1999

A Stringy Cloak for a Classical Singularity journal, December 2004

Moulting Black Holes journal, March 2012

Conformal collider physics from the lightcone bootstrap journal, February 2016

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Gauge theory correlators from non-critical string theory journal, May 1998

Beauty and the beast: Superconformal symmetry in a monster module journal, June 1988

Holographic entanglement entropy from 2d CFT: heavy states and local quenches journal, February 2015

On the Fourier Coefficients of Certain Modular Forms of Positive Dimension journal, April 1938

Anti de Sitter space and holography journal, January 1998

A Convergent Series for the Partition Function p(n) journal, February 1937

A proof of the conformal collider bounds journal, June 2016

Causality constraints on corrections to the graviton three-point coupling journal, February 2016

Comments on Rényi entropy in AdS3/CFT2 journal, May 2014

Super Virasoro Algebras From Chiral Supergravity journal, September 2015

Emergent space-time and the supersymmetric index journal, May 2016

Partition functions of three-dimensional pure gravity journal, January 2008

Poincaré series, 3D gravity and CFT spectroscopy journal, February 2015

Genus two partition functions of extremal conformal field theories journal, August 2007

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

String-corrected black holes journal, May 2005

Aspects of black hole quantum mechanics and thermodynamics in 2+1 dimensions journal, January 1995

Holography from conformal field theory journal, October 2009

Chiral gravity in three dimensions journal, April 2008

How does a fundamental string stretch its horizon? journal, May 2005

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

Genus two partition functions of chiral conformal field theories journal, January 2010

A cardy formula for three-point coefficients or how the black hole got its spots journal, May 2017

Quantum Regge trajectories and the Virasoro analytic bootstrap journal, May 2019

Charged structure constants from modularity journal, November 2017

Black holes and class groups journal, October 2018

Charged structure constants from modularity text, January 2017

Black holes and class groups preprint, January 2018

Quantum Regge Trajectories and the Virasoro Analytic Bootstrap text, January 2018

The Most Irrational Rational Theories text, January 2018

Extremal Black Holes and Elementary String States
journal, September 1995

Exact Counting of Supersymmetric Black Hole Microstates
journal, June 2005

Precision counting of small black holes
journal, October 2005

Quantum gravity partition functions in three dimensions
journal, February 2010

Topologically massive supergravity
journal, January 1983

Universal spectrum of 2d conformal field theory in the large c limit
journal, September 2014

Universality of long-distance AdS physics from the CFT bootstrap
journal, August 2014

Causality constraints in conformal field theory
journal, May 2016

Split states, entropy enigmas, holes and halos
journal, November 2011

Rademacher sums, moonshine and gravity
journal, January 2011

Corrections to macroscopic supersymmetric black-hole entropy
journal, April 1999

A Stringy Cloak for a Classical Singularity
journal, December 2004

Moulting Black Holes
journal, March 2012

Conformal collider physics from the lightcone bootstrap
journal, February 2016

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Gauge theory correlators from non-critical string theory
journal, May 1998

Beauty and the beast: Superconformal symmetry in a monster module
journal, June 1988

Holographic entanglement entropy from 2d CFT: heavy states and local quenches
journal, February 2015

On the Fourier Coefficients of Certain Modular Forms of Positive Dimension
journal, April 1938

Anti de Sitter space and holography
journal, January 1998

A Convergent Series for the Partition Function p(n)
journal, February 1937

A proof of the conformal collider bounds
journal, June 2016

Causality constraints on corrections to the graviton three-point coupling
journal, February 2016

Comments on Rényi entropy in AdS3/CFT2
journal, May 2014

Super Virasoro Algebras From Chiral Supergravity
journal, September 2015

Emergent space-time and the supersymmetric index
journal, May 2016

Partition functions of three-dimensional pure gravity
journal, January 2008

Poincaré series, 3D gravity and CFT spectroscopy
journal, February 2015

Genus two partition functions of extremal conformal field theories
journal, August 2007

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

String-corrected black holes
journal, May 2005

Aspects of black hole quantum mechanics and thermodynamics in 2+1 dimensions
journal, January 1995

Holography from conformal field theory
journal, October 2009

Chiral gravity in three dimensions
journal, April 2008

How does a fundamental string stretch its horizon?
journal, May 2005

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

Genus two partition functions of chiral conformal field theories
journal, January 2010

A cardy formula for three-point coefficients or how the black hole got its spots
journal, May 2017

Quantum Regge trajectories and the Virasoro analytic bootstrap
journal, May 2019

Charged structure constants from modularity
journal, November 2017

Black holes and class groups
journal, October 2018

Charged structure constants from modularity
text, January 2017

Black holes and class groups
preprint, January 2018

Quantum Regge Trajectories and the Virasoro Analytic Bootstrap
text, January 2018

The Most Irrational Rational Theories
text, January 2018