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Bulk and Boundary Dynamics in BTZ Black Holes
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Recently, the AdS/CFT conjecture of Maldacena has been investigated in Lorentzian signature by Balasubramanian et. al. We extend this investigation to Lorentzian BTZ black hole spacetimes, and study the bulk and boundary behaviour of massive scalar fields both in the non-extremal and extremal case. Using the bulk-boundary correspondence, we also evaluate the two-point correlator of operators coupling to the scalar field at the boundary of the spacetime, and find that it satisfies thermal periodic boundary conditions relevant to the Hawking temperature of the BTZ black hole.
Forward citations
Cited by 4 Pith papers
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Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
Symmetric product orbifolds have large-N thermal correlators identical to BTZ, undercutting the claim that a type III1 von Neumann algebra implies a sharp emergent horizon.
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Probing holographic conformal field theories
In a holographic CFT on a cylinder, a qutrit Unruh-DeWitt detector harvests more mana when the dual bulk scalar uses standard (Δ+) quantization than alternate (Δ−) quantization.
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Geodesics, One Point Functions and Black Hole Perturbations
In a perturbed Euclidean BTZ black hole, the first-order change in the thermal one-point function is still controlled by the change in the boundary-to-horizon geodesic length, up to m-dependent prefactors.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
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