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Holographic entanglement entropy of anisotropic minimal surfaces in LLM geometries

Title
Holographic entanglement entropy of anisotropic minimal surfaces in LLM geometries
Authors
Kim, ChanjuKim, Kyung KiuKwon, O-Kab
Ewha Authors
김찬주
SCOPUS Author ID
김찬주scopus
Issue Date
2016
Journal Title
PHYSICS LETTERS B
ISSN
0370-2693JCR Link1873-2445JCR Link
Citation
vol. 759, pp. 395 - 401
Publisher
ELSEVIER SCIENCE BV
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We calculate the holographic entanglement entropy (HEE) of the Z(k) orbifold of Lin-Lunin-Maldacena (LLM) geometries which are dual to the vacua of the mass-deformed ABJM theory with Chern-Simons level k. By solving the partial differential equations analytically, we obtain the HEEs for all LLM solutions with arbitrary M2 charge and k up to mu(2)(0)-order where mu(0) is the mass parameter. The renormalized entanglement entropies are all monotonically decreasing near the UV fixed point in accordance with the F-theorem. Except the multiplication factor and to all orders in mu(0), they are independent of the overall scaling of Young diagrams which characterize LLM geometries. Therefore we can classify the HEEs of LLM geometries with Z(k) orbifold in terms of the shape of Young diagrams modulo overall size. HEE of each family is a pure number independent of the 't Hooft coupling constant except the overall multiplication factor. We extend our analysis to obtain HEE analytically to mu(4)(0)-order for the symmetric droplet case. (C) 2016 The Author(s). Published by Elsevier B.V.
DOI
10.1016/j.physletb.2016.05.095
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자연과학대학 > 물리학전공 > Journal papers
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