Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
AdS black holes as reflecting cavities
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abstract
We use the identification between null singularities of correlators in the bulk with time singularities in the boundary correlators to study the analytic structure of time-dependent thermal Green functions using the eikonal approximation for classical solutions in the AdS black hole background. We show that the location of singularities in complex time can be understood in terms of null rays bouncing on the boundaries and singularities of the eternal black hole, giving the picture of a `reflecting cavity'. We can then extract the general analytic expression for the asymptotic values of the frequencies of quasinormal modes in large AdS black holes.
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Thermal two-point functions in holographic AdS black holes receive exponentially small non-perturbative corrections controlled by null geodesics bouncing off the singularity.
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Bouncing singularities and thermal correlators on line defects
Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
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Imprint of the black hole singularity on thermal two-point functions
Thermal two-point functions in holographic AdS black holes receive exponentially small non-perturbative corrections controlled by null geodesics bouncing off the singularity.