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Holographic micro thermofield geometries of BTZ black holes

Title
Holographic micro thermofield geometries of BTZ black holes
Authors
Bak D.Kim C.Kim K.K.Song J.-P.
Ewha Authors
김찬주
SCOPUS Author ID
김찬주scopus
Issue Date
2017
Journal Title
Journal of High Energy Physics
ISSN
1126-6708JCR Link
Citation
Journal of High Energy Physics vol. 2017, no. 6
Keywords
AdS-CFT CorrespondenceBlack HolesConformal Field Theory
Publisher
Springer Verlag
Indexed
SCOPUS WOS scopus
Document Type
Article
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).
DOI
10.1007/JHEP06(2017)079
Appears in Collections:
자연과학대학 > 물리학전공 > Journal papers
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