On the latetime behavior of Virasoro blocks and a classification of semiclassical saddles
Recent work has demonstrated that black hole thermodynamics and information loss/restoration in AdS _{3}/CFT _{2} can be derived almost entirely from the behavior of the Virasoro conformal blocks at large central charge, with relatively little dependence on the precise details of the CFT spectrum or OPE coefficients. Here, we elaborate on the nonperturbative behavior of Virasoro blocks by classifying all ‘saddles’ that can contribute for arbitrary values of external and internal operator dimensions in the semiclassical large central charge limit. The leading saddles, which determine the naive semiclassical behavior of the Virasoro blocks, all decay exponentially at late times, and at a rate that is independent of internal operator dimensions. Consequently, the semiclassical contribution of a finite number of highenergy states cannot resolve a wellknown version of the information loss problem in AdS _{3}. Furthermore, we identify two infinite classes of subleading saddles, and one of these classes does not decay at late times.
 Authors:

^{[1]};
^{[2]}
 Boston Univ., Boston, MA (United States)
 Johns Hopkins Univ., Baltimore, MD (United States)
 Publication Date:
 Grant/Contract Number:
 SC0010025
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 4; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Boston Univ., MA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT correspondence; black holes; conformal and W symmetry; conformal field theory
 OSTI Identifier:
 1366749
Fitzpatrick, A. Liam, and Kaplan, Jared. On the latetime behavior of Virasoro blocks and a classification of semiclassical saddles. United States: N. p.,
Web. doi:10.1007/JHEP04(2017)072.
Fitzpatrick, A. Liam, & Kaplan, Jared. On the latetime behavior of Virasoro blocks and a classification of semiclassical saddles. United States. doi:10.1007/JHEP04(2017)072.
Fitzpatrick, A. Liam, and Kaplan, Jared. 2017.
"On the latetime behavior of Virasoro blocks and a classification of semiclassical saddles". United States.
doi:10.1007/JHEP04(2017)072. https://www.osti.gov/servlets/purl/1366749.
@article{osti_1366749,
title = {On the latetime behavior of Virasoro blocks and a classification of semiclassical saddles},
author = {Fitzpatrick, A. Liam and Kaplan, Jared},
abstractNote = {Recent work has demonstrated that black hole thermodynamics and information loss/restoration in AdS3/CFT2 can be derived almost entirely from the behavior of the Virasoro conformal blocks at large central charge, with relatively little dependence on the precise details of the CFT spectrum or OPE coefficients. Here, we elaborate on the nonperturbative behavior of Virasoro blocks by classifying all ‘saddles’ that can contribute for arbitrary values of external and internal operator dimensions in the semiclassical large central charge limit. The leading saddles, which determine the naive semiclassical behavior of the Virasoro blocks, all decay exponentially at late times, and at a rate that is independent of internal operator dimensions. Consequently, the semiclassical contribution of a finite number of highenergy states cannot resolve a wellknown version of the information loss problem in AdS3. Furthermore, we identify two infinite classes of subleading saddles, and one of these classes does not decay at late times.},
doi = {10.1007/JHEP04(2017)072},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2017,
place = {United States},
year = {2017},
month = {4}
}