Bulk and Boundary Dynamics in BTZ Black Holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, LaTeX file. v2: references added. v3: some typo corrections and minor clarifications

Scientific paper

10.1103/PhysRevD.59.104001

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.

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