A geodesic Witten diagram built directly in Euclidean BTZ coordinates reproduces the semi-classical Virasoro block and links the half-thermal-period timescale to the probe geodesic reaching the horizon.
The Bulk-to-Boundary Propagator in Black Hole Microstate Backgrounds
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abstract
First-quantized propagation in quantum gravitational AdS$_3$ backgrounds can be exactly reconstructed using CFT$_2$ data and Virasoro symmetry. We develop methods to compute the bulk-to-boundary propagator in a black hole microstate, $\langle \phi_L \mathcal{O}_L \mathcal{O}_H \mathcal{O}_H\rangle$, 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.
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Virasoro Blocks and Trouble at the Euclidean Horizon
A geodesic Witten diagram built directly in Euclidean BTZ coordinates reproduces the semi-classical Virasoro block and links the half-thermal-period timescale to the probe geodesic reaching the horizon.