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Bulk and Boundary Dynamics in BTZ Black Holes
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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 3 Pith papers
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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
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