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Friday, September 16th 2016

12:30 pm:

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 ∼ 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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