Small black holes and nearextremal 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 “nearextremal CFT” proposal precisely evades the nogo results of Gaberdiel et al.
 Authors:

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 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:
 Grant/Contract Number:
 AC0276SF00515
 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 10298479
 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; AdSCFT 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 nearextremal 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 nearextremal 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 nearextremal CFTs". United States.
doi:10.1007/JHEP08(2016)023. https://www.osti.gov/servlets/purl/1373289.
@article{osti_1373289,
title = {Small black holes and nearextremal 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 “nearextremal CFT” proposal precisely evades the nogo 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}
}