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Title: Small black holes and near-extremal CFTs

Pure theories of AdS 3 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:
 [1] ;  [1] ;  [2] ;  [3] ;  [4]
  1. Stanford Institute for Theoretical Physics, Stanford, CA (United States)
  2. Boston Univ., Boston, MA (United States)
  3. McGill Univ., Montreal, QC (Canada)
  4. Princeton Univ., Princeton, NJ (United States)
Publication Date:
Grant/Contract Number:
AC02-76SF00515
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
Research Org:
Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
Sponsoring Org:
USDOE
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
OSTI Identifier:
1373289

Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam, Maloney, Alexander, and Perlmutter, Eric. Small black holes and near-extremal CFTs. United States: N. p., 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. doi:10.1007/JHEP08(2016)023.
Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam, Maloney, Alexander, and Perlmutter, Eric. 2016. "Small black holes and near-extremal CFTs". United States. doi: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 = {2016},
month = {8}
}