Abstract
In the AdS/CFT correspondence eternal black holes can be viewed as a specific entanglement between two copies of the CFT: the thermofield double. The statistical CFT Wightman function can be computed from a geodesic between the two boundaries of the Kruskal extended black hole and therefore probes the geometry behind the horizon. We construct a kernel for the AdS3/CFT2 Wightman function that is independent of the entanglement. This kernel equals the average off-diagonal matrix element squared of a primary operator. This allows us to compute the Wightman function for an arbitrary entanglement between the double copies and probe the emergent geometry between a leftand right-CFT that are not thermally entangled.
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Romero-Bermúdez, A., Sabella-Garnier, P. & Schalm, K. A Cardy formula for off-diagonal three-point coefficients; or, how the geometry behind the horizon gets disentangled. J. High Energ. Phys. 2018, 5 (2018). https://doi.org/10.1007/JHEP09(2018)005
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DOI: https://doi.org/10.1007/JHEP09(2018)005