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:
-
- 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:
- 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.
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
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.
@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}
}
Web of Science
Works referenced in this record:
Extremal Black Holes and Elementary String States
journal, September 1995
- Sen, Ashoke
- Modern Physics Letters A, Vol. 10, Issue 28
Exact Counting of Supersymmetric Black Hole Microstates
journal, June 2005
- Dabholkar, Atish
- Physical Review Letters, Vol. 94, Issue 24
Precision counting of small black holes
journal, October 2005
- Dabholkar, Atish; Denef, Frederik; Moore, Gregory W.
- Journal of High Energy Physics, Vol. 2005, Issue 10
Quantum gravity partition functions in three dimensions
journal, February 2010
- Maloney, Alexander; Witten, Edward
- Journal of High Energy Physics, Vol. 2010, Issue 2
Topologically massive supergravity
journal, January 1983
- Deser, S.; Kay, J. H.
- Physics Letters B, Vol. 120, Issue 1-3
Universal spectrum of 2d conformal field theory in the large c limit
journal, September 2014
- Hartman, Thomas; Keller, Christoph A.; Stoica, Bogdan
- Journal of High Energy Physics, Vol. 2014, Issue 9
Universality of long-distance AdS physics from the CFT bootstrap
journal, August 2014
- Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.
- Journal of High Energy Physics, Vol. 2014, Issue 8
Causality constraints in conformal field theory
journal, May 2016
- Hartman, Thomas; Jain, Sachin; Kundu, Sandipan
- Journal of High Energy Physics, Vol. 2016, Issue 5
Split states, entropy enigmas, holes and halos
journal, November 2011
- Denef, Frederik; Moore, Gregory W.
- Journal of High Energy Physics, Vol. 2011, Issue 11
Rademacher sums, moonshine and gravity
journal, January 2011
- Duncan, John F. R.; Frenkel, Igor B.
- Communications in Number Theory and Physics, Vol. 5, Issue 4
Corrections to macroscopic supersymmetric black-hole entropy
journal, April 1999
- Cardoso, Gabriel Lopes; Wit, Bernard de; Mohaupt, Thomas
- Physics Letters B, Vol. 451, Issue 3-4
A Stringy Cloak for a Classical Singularity
journal, December 2004
- Dabholkar, Atish; Kallosh, Renata; Maloney, Alexander
- Journal of High Energy Physics, Vol. 2004, Issue 12
Moulting Black Holes
journal, March 2012
- Bena, Iosif; Chowdhury, Borun D.; de Boer, Jan
- Journal of High Energy Physics, Vol. 2012, Issue 3
Conformal collider physics from the lightcone bootstrap
journal, February 2016
- Li, Daliang; Meltzer, David; Poland, David
- Journal of High Energy Physics, Vol. 2016, Issue 2
The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999
- Maldacena, Juan
- International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133
Gauge theory correlators from non-critical string theory
journal, May 1998
- Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M.
- Physics Letters B, Vol. 428, Issue 1-2
Beauty and the beast: Superconformal symmetry in a monster module
journal, June 1988
- Dixon, L.; Ginsparg, P.; Harvey, J.
- Communications in Mathematical Physics, Vol. 119, Issue 2
Holographic entanglement entropy from 2d CFT: heavy states and local quenches
journal, February 2015
- Asplund, Curtis T.; Bernamonti, Alice; Galli, Federico
- Journal of High Energy Physics, Vol. 2015, Issue 2
On the Fourier Coefficients of Certain Modular Forms of Positive Dimension
journal, April 1938
- Rademacher, Hans; Zuckerman, Herbert S.
- The Annals of Mathematics, Vol. 39, Issue 2
Anti de Sitter space and holography
journal, January 1998
- Witten, Edward
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2
A Convergent Series for the Partition Function p(n)
journal, February 1937
- Rademacher, H.
- Proceedings of the National Academy of Sciences, Vol. 23, Issue 2
A proof of the conformal collider bounds
journal, June 2016
- Hofman, Diego M.; Li, Daliang; Meltzer, David
- Journal of High Energy Physics, Vol. 2016, Issue 6
Causality constraints on corrections to the graviton three-point coupling
journal, February 2016
- Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan
- Journal of High Energy Physics, Vol. 2016, Issue 2
Comments on Rényi entropy in AdS3/CFT2
journal, May 2014
- Perlmutter, Eric
- Journal of High Energy Physics, Vol. 2014, Issue 5
Super Virasoro Algebras From Chiral Supergravity
journal, September 2015
- Hyakutake, Yoshifumi
- Universe, Vol. 1, Issue 2
Emergent space-time and the supersymmetric index
journal, May 2016
- Benjamin, Nathan; Kachru, Shamit; Keller, Christoph A.
- Journal of High Energy Physics, Vol. 2016, Issue 5
Partition functions of three-dimensional pure gravity
journal, January 2008
- Yin, Xi
- Communications in Number Theory and Physics, Vol. 2, Issue 2
Poincaré series, 3D gravity and CFT spectroscopy
journal, February 2015
- Keller, Christoph A.; Maloney, Alexander
- Journal of High Energy Physics, Vol. 2015, Issue 2
Genus two partition functions of extremal conformal field theories
journal, August 2007
- Gaiotto, Davide; Yin, Xi
- Journal of High Energy Physics, Vol. 2007, Issue 08
AdS 3 black holes and a stringy exclusion principle
journal, December 1998
- Maldacena, Juan; Strominger, Andrew
- Journal of High Energy Physics, Vol. 1998, Issue 12
String-corrected black holes
journal, May 2005
- Hubeny, Veronika E.; Maloney, Alexander; Rangamani, Mukund
- Journal of High Energy Physics, Vol. 2005, Issue 05
Aspects of black hole quantum mechanics and thermodynamics in 2+1 dimensions
journal, January 1995
- Carlip, Steven; Teitelboim, Claudio
- Physical Review D, Vol. 51, Issue 2
Holography from conformal field theory
journal, October 2009
- Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph
- Journal of High Energy Physics, Vol. 2009, Issue 10
Chiral gravity in three dimensions
journal, April 2008
- Li, Wei; Song, Wei; Strominger, Andrew
- Journal of High Energy Physics, Vol. 2008, Issue 04
How does a fundamental string stretch its horizon?
journal, May 2005
- Sen, Ashoke
- Journal of High Energy Physics, Vol. 2005, Issue 05
Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
journal, June 1986
- Brown, J. D.; Henneaux, Marc
- Communications in Mathematical Physics, Vol. 104, Issue 2
Genus two partition functions of chiral conformal field theories
journal, January 2010
- Gaberdiel, Matthias R.; Keller, Christoph A.; Volpato, Roberto
- Communications in Number Theory and Physics, Vol. 4, Issue 2
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
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
Charged structure constants from modularity
journal, November 2017
- Das, Diptarka; Datta, Shouvik; Pal, Sridip
- Journal of High Energy Physics, Vol. 2017, Issue 11
Black holes and class groups
journal, October 2018
- Benjamin, Nathan; Kachru, Shamit; Ono, Ken
- Research in the Mathematical Sciences, Vol. 5, Issue 4
Charged structure constants from modularity
text, January 2017
- Das, Diptarka; Datta, Shouvik; Pal, Sridip
- ETH Zurich
Black holes and class groups
preprint, January 2018
- Benjamin, Nathan; Kachru, Shamit; Ono, Ken
- arXiv
Quantum Regge Trajectories and the Virasoro Analytic Bootstrap
text, January 2018
- Collier, Scott; Gobeil, Yan; Maxfield, Henry
- arXiv
The Most Irrational Rational Theories
text, January 2018
- Benjamin, Nathan; Dyer, Ethan; Fitzpatrick, A. Liam
- arXiv