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

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

References in corpus (8)

• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions
• Local bulk S-matrix elements and CFT singularities
• String scattering in flat space and a scaling limit of Yang-Mills correlators
• Virasoro vacuum block at next-to-leading order in the heavy-light limit
• Worldline approach to semi-classical conformal blocks
• Conformal Blocks Beyond the Semi-Classical Limit
• A Quantum Correction To Chaos

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