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Title: On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles

Abstract

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 non-perturbative 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 high-energy states cannot resolve a well-known version of the information loss problem in AdS3. Furthermore, we identify two infinite classes of sub-leading saddles, and one of these classes does not decay at late times.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Boston Univ., Boston, MA (United States)
  2. Johns Hopkins Univ., Baltimore, MD (United States)
Publication Date:
Research Org.:
Boston Univ., MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1366749
Grant/Contract Number:  
SC0010025
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: 2017; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT correspondence; black holes; conformal and W symmetry; conformal field theory

Citation Formats

Fitzpatrick, A. Liam, and Kaplan, Jared. On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles. United States: N. p., 2017. Web. doi:10.1007/JHEP04(2017)072.
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Fitzpatrick, A. Liam, & Kaplan, Jared. On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles. United States. https://doi.org/10.1007/JHEP04(2017)072
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Fitzpatrick, A. Liam, and Kaplan, Jared. Wed . "On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles". United States. https://doi.org/10.1007/JHEP04(2017)072. https://www.osti.gov/servlets/purl/1366749.
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@article{osti_1366749,
title = {On the late-time 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 non-perturbative 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 high-energy states cannot resolve a well-known version of the information loss problem in AdS3. Furthermore, we identify two infinite classes of sub-leading 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 = {Wed Apr 12 00:00:00 EDT 2017},
month = {Wed Apr 12 00:00:00 EDT 2017}
}
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https://doi.org/10.1007/JHEP04(2017)072
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