On information loss in AdS _{3}/CFT _{2}
We discuss information loss from black hole physics in AdS _{3}, focusing on two sharp signatures infecting CFT _{2} correlators at large central charge c: ‘forbidden singularities’ arising from Euclideantime periodicity due to the effective Hawking temperature, and latetime exponential decay in the Lorentzian region. We study an infinite class of examples where forbidden singularities can be resolved by nonperturbative effects at finite c, and we show that the resolution has certain universal features that also apply in the general case. Analytically continuing to the Lorentzian regime, we find that the nonperturbative effects that resolve forbidden singularities qualitatively change the behavior of correlators at times t ~S _{BH}, the black hole entropy. This may resolve the exponential decay of correlators at late times in black hole backgrounds. By Borel resumming the 1/c expansion of exact examples, we explicitly identify ‘informationrestoring’ effects from heavy states that should correspond to classical solutions in AdS _{3}. Lastly, our results suggest a line of inquiry towards a more precise formulation of the gravitational path integral in AdS _{3}.
 Authors:

^{[1]};
^{[2]};
^{[2]};
^{[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: 2016; Journal Issue: 5; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Boston Univ., MA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; 1/N expansion; AdSCFT correspondence; Black Holes; Conformal and W symmetry
 OSTI Identifier:
 1326955
Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang, and Wang, Junpu. On information loss in AdS3/CFT2. United States: N. p.,
Web. doi:10.1007/JHEP05(2016)109.
Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang, & Wang, Junpu. On information loss in AdS3/CFT2. United States. doi:10.1007/JHEP05(2016)109.
Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang, and Wang, Junpu. 2016.
"On information loss in AdS3/CFT2". United States.
doi:10.1007/JHEP05(2016)109. https://www.osti.gov/servlets/purl/1326955.
@article{osti_1326955,
title = {On information loss in AdS3/CFT2},
author = {Fitzpatrick, A. Liam and Kaplan, Jared and Li, Daliang and Wang, Junpu},
abstractNote = {We discuss information loss from black hole physics in AdS3, focusing on two sharp signatures infecting CFT2 correlators at large central charge c: ‘forbidden singularities’ arising from Euclideantime periodicity due to the effective Hawking temperature, and latetime exponential decay in the Lorentzian region. We study an infinite class of examples where forbidden singularities can be resolved by nonperturbative effects at finite c, and we show that the resolution has certain universal features that also apply in the general case. Analytically continuing to the Lorentzian regime, we find that the nonperturbative effects that resolve forbidden singularities qualitatively change the behavior of correlators at times t ~SBH, the black hole entropy. This may resolve the exponential decay of correlators at late times in black hole backgrounds. By Borel resumming the 1/c expansion of exact examples, we explicitly identify ‘informationrestoring’ effects from heavy states that should correspond to classical solutions in AdS3. Lastly, our results suggest a line of inquiry towards a more precise formulation of the gravitational path integral in AdS3.},
doi = {10.1007/JHEP05(2016)109},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2016,
place = {United States},
year = {2016},
month = {5}
}