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순수물리이론 연구단
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Holographic micro thermoeld geometries of BTZ black holes

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Title
Holographic micro thermoeld geometries of BTZ black holes
Author(s)
Dongsu Bak; Chanju Kim; Kyung Kiu Kim; Jeong-Pil Song
Publication Date
2017-06
Journal
JOURNAL OF HIGH ENERGY PHYSICS, v.2017, no.6, pp.079 -
Publisher
SPRINGER
Abstract
We find general deformations of BTZ spacetime and identify the corresponding thermofield initial states of the dual CFT. We deform the geometry by introducing bulk fields dual to primary operators and find the back-reacted gravity solutions to the quadratic order of the deformation parameter. The dual thermofield initial states can be deformed by inserting arbitrary linear combination of operators at the mid-point of the Euclidean time evolution that appears in the construction of the thermofield initial states. The deformed geometries are dual to thermofield states without deforming the boundary Hamiltonians in the CFT side. We explicitly demonstrate that the AdS/CFT correspondence is not a linear correspondence in the sense that the linear structure of Hilbert space of the underlying CFT is realized nonlinearly in the gravity side. We also find that their Penrose diagrams are no longer a square but elongated horizontally due to deformation. These geometries describe a relaxation of generic initial perturbation of thermal system while fixing the total energy of the system. The coarse-grained entropy grows and the relaxation time scale is of order β/2π. We clarify that the gravity description involves coarse-graining inevitably missing some information of nonperturbative degrees. © 2017, The Author(s)
URI
http://pr.ibs.re.kr/handle/8788114/3664
DOI
10.1007/JHEP06(2017)079
ISSN
1029-8479
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
Files in This Item:
10.1007_JHEP06(2017)079.pdfDownload

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