Scrambling time from local perturbations of the rotating BTZ black hole

Scrambling time from local perturbations of the rotating BTZ black hole

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 t...

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Main Author: Andrius Štikonas
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Journal of High Energy Physics
Subjects:
AdS-CFT Correspondence
Black Holes
Conformal Field Models in String Theory
Holography and condensed matter physics (AdS/CMT)
Online Access:http://link.springer.com/article/10.1007/JHEP02(2019)054
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spelling doaj-90476551903f48d88c51112c9e9a1c2a2020-11-25T02:38:24ZengSpringerOpenJournal of High Energy Physics1029-84792019-02-012019212510.1007/JHEP02(2019)054Scrambling time from local perturbations of the rotating BTZ black holeAndrius Štikonas0School of Mathematics and Maxwell Institute for Mathematical Sciences, University of EdinburghAbstract 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.http://link.springer.com/article/10.1007/JHEP02(2019)054AdS-CFT CorrespondenceBlack HolesConformal Field Models in String TheoryHolography and condensed matter physics (AdS/CMT)
collection DOAJ
language English
format Article
sources DOAJ
author Andrius Štikonas
spellingShingle Andrius Štikonas
Scrambling time from local perturbations of the rotating BTZ black hole
Journal of High Energy Physics
AdS-CFT Correspondence
Black Holes
Conformal Field Models in String Theory
Holography and condensed matter physics (AdS/CMT)
author_facet Andrius Štikonas
author_sort Andrius Štikonas
title Scrambling time from local perturbations of the rotating BTZ black hole
title_short Scrambling time from local perturbations of the rotating BTZ black hole
title_full Scrambling time from local perturbations of the rotating BTZ black hole
title_fullStr Scrambling time from local perturbations of the rotating BTZ black hole
title_full_unstemmed Scrambling time from local perturbations of the rotating BTZ black hole
title_sort scrambling time from local perturbations of the rotating btz black hole
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-02-01
description 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.
topic AdS-CFT Correspondence
Black Holes
Conformal Field Models in String Theory
Holography and condensed matter physics (AdS/CMT)
url http://link.springer.com/article/10.1007/JHEP02(2019)054
work_keys_str_mv AT andriusstikonas scramblingtimefromlocalperturbationsoftherotatingbtzblackhole
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