Holographic entanglement entropy of the double Wick rotated BTZ black hole
Mitsutoshi Fujita, Jun Zhang
TL;DR
This paper investigates the holographic covariant entanglement entropy in a double Wick rotated BTZ black hole, revealing its agreement with conformal field theory calculations despite the dual field theory's negative energy.
Contribution
It provides the first analysis of holographic entanglement entropy in a double Wick rotated BTZ black hole, connecting gravitational and conformal field theory results.
Findings
Holographic entanglement entropy matches CFT calculations.
The dual field theory exhibits negative energy in Lorentzian signature.
The analysis extends understanding of entanglement in rotated black hole geometries.
Abstract
In this paper, we analyze the holographic covariant entanglement entropy in the double Wick rotated version of a rotating BTZ black hole (3 dimensional Kerr-AdS solution), where the periodicity of Euclidean time and spatial direction are changed. The dual field theory has negative energy in the Lorentzian signature. The holographic entanglement entropy agrees with its CFT counterpart, which is obtained by a conformal transformation of the correlation functions of twisted operators.
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