Abstract
First-quantized propagation in quantum gravitational AdS3 backgrounds can be exactly reconstructed using CFT2 data and Virasoro symmetry. We develop methods to compute the bulk-to-boundary propagator in a black hole microstate, leftlangle {phi}_L{mathcal{O}}_L{mathcal{O}}_H{mathcal{O}}_Hrightrangle , at finite central charge. As a first application, we show that the semiclassical theory on the Euclidean BTZ solution sharply disagrees with the exact description, as expected based on the resolution of forbidden thermal singularities, though this effect may appear exponentially small for physical observers.
Highlights
We develop methods to compute the bulk-to-boundary propagator in a black hole microstate, φLOLOH OH, at finite central charge
We show that the semiclassical theory on the Euclidean BTZ solution sharply disagrees with the exact description, as expected based on the resolution of forbidden thermal singularities, though this effect may appear exponentially small for physical observers
Which can be used to explore the limits of gravitational effective field theory, including in the near horizon region of the black hole microstate created by OH
Summary
Perturbative gravitational physics in AdS3 is largely determined by the Virasoro algebra of CFT2 [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]. One can go further, and explicitly compute many nonperturbative quantum gravitational effects [23,24,25,26,27,28] as well. These include a prescription for bulk reconstruction that incorporates the exchange of all multi-graviton states [29], and has led to a quantitative prediction for the breakdown of bulk locality at the non-perturbative level in GN [30]. In this paper we will largely focus on technical machinery, while in future work we hope to use these methods to study infalling observers
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