Scrambling time from local perturbations of the rotating BTZ black hole

Andrius \v{S}tikonas

Scrambling time from local perturbations of the rotating BTZ black hole

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arxiv 1810.06110 v2 pith:TUTAJLIG submitted 2018-10-14 hep-th

Andrius Štikonas This is my paper · ORCID

classification hep-th

keywords rotatingtimeblackholeinformationlocalmutualperturbed

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abstract

In this paper, we investigate the entanglement entropy of the rotating BTZ black hole perturbed by a massive back-reacting free falling particle. Then, mutual information between two finite intervals in two asymptotic regions of rotating BTZ is derived. It allows us to find the scrambling time, the time scale in which mutual information vanishes. We give a dual large $c$ CFT description in terms of a thermofield double state with different temperatures for left and right moving modes that is perturbed by a local operator. Exact matching between gravity and CFT results is obtained.

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Holographic correlation functions from wedge
hep-th 2024-11 conditional novelty 6.0 of 10

Correlation functions of heavy operators can be computed from the on-shell action of a wedge excised from AdS3, verified in Poincaré, global, and BTZ backgrounds.

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