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Publication . Preprint . Article . 2016

On Information Loss in AdS$_3$/CFT$_2$

A. Liam Fitzpatrick; Jared Kaplan; Daliang Li; Junpu Wang;
Open Access
English
Abstract
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 Euclidean-time periodicity due to the effective Hawking temperature, and late-time exponential decay in the Lorentzian region. We study an infinite class of examples where forbidden singularities can be resolved by non-perturbative 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 non-perturbative effects that resolve forbidden singularities qualitatively change the behavior of correlators at times $t \sim S_{BH}$, 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 'information-restoring' effects from heavy states that should correspond to classical solutions in AdS$_3$. Our results suggest a line of inquiry towards a more precise formulation of the gravitational path integral in AdS$_3$.
41+18 pages, 13 figures; v2 typos & refs; v3 intro expanded
Subjects by Vocabulary

arXiv: General Relativity and Quantum Cosmology

Microsoft Academic Graph classification: Central charge Quantum mechanics Black hole Black hole thermodynamics Exponential decay AdS/CFT correspondence 1/N expansion Gravitational singularity Physics Mathematical physics Anti-de Sitter space

Subjects

High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), FOS: Physical sciences

Funded by
NSF| Field Theory and Gravity from the Bottom-Up
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 1316665
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics
,
NSF| CAREER: Conformal Field Theory and Quantum Gravity from the Bottom-Up
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 1454083
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics
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