4.4 Article

On information loss in AdS3/CFT2

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP05(2016)109

Keywords

1/N Expansion; AdS-CFT Correspondence; Black Holes; Conformal and W Symmetry

Funding

  1. US Department of Energy Office of Science [DE-SC-0010025]
  2. NSF [PHY-1316665, PHY-1454083]
  3. Sloan Foundation

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We discuss information loss from black hole physics in AdS(3), focusing on two sharp signatures infecting CFT2 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 similar to 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).

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