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Signatures of Bulk Black Hole Merger from Semi-classical 2d CFT

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arxiv 2501.00405 v2 pith:ELKRAE6Q submitted 2024-12-31 hep-th

Signatures of Bulk Black Hole Merger from Semi-classical 2d CFT

classification hep-th
keywords blackbulkholephasescatteringtransitionamplitudeapproximation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the real-time bulk AdS$_3$ two-into-two scattering amplitude of conical defects. This is done through means of a previously developed method of systematic approximation of the monodromy problem for the Virasoro blocks of the four-point HHHH correlator in 2d CFT in the large central charge regime. We find that dialing the external scaling dimension triggers a transition from a scattering phase to an intermediate black hole phase. This transition occurs before the individual heavy operators exceed the BTZ mass gap.

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    Exact CFT states for colliding particles that form evaporating AdS black holes are constructed, and several coarse-graining maps are shown to convert the exact pure state into mixed semiclassical Hawking radiation wit...