Bulk and Boundary Dynamics in BTZ Black Holes
Esko Keski-Vakkuri (Caltech)
TL;DR
This paper explores the dynamics of scalar fields in Lorentzian BTZ black hole spacetimes within the AdS/CFT framework, analyzing bulk-boundary interactions and correlators that reflect black hole thermodynamics.
Contribution
It extends the Lorentzian AdS/CFT analysis to BTZ black holes, examining scalar field behavior and correlators in both extremal and non-extremal cases.
Findings
Scalar fields exhibit boundary conditions consistent with Hawking temperature.
Two-point correlators satisfy thermal periodicity.
Analysis applies to both extremal and non-extremal BTZ black holes.
Abstract
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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