AdS Q-soliton and inhomogeneously mass-deformed ABJM model

Abstract We study dual geometries to a deformed ABJM model with spatially dependent source functions at finite temperature. These source functions are proportional to the mass function m(x) = m 0 sin kx and its derivative m′(x). As dual geometries, we find hairy black branes and AdS solitons corresp...

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Main Authors: Byoungjoon Ahn, Seungjoon Hyun, Kyung Kiu Kim, O-Kab Kwon, Sang-A Park
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP02(2020)132
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author Byoungjoon Ahn
Seungjoon Hyun
Kyung Kiu Kim
O-Kab Kwon
Sang-A Park
author_facet Byoungjoon Ahn
Seungjoon Hyun
Kyung Kiu Kim
O-Kab Kwon
Sang-A Park
author_sort Byoungjoon Ahn
collection DOAJ
description Abstract We study dual geometries to a deformed ABJM model with spatially dependent source functions at finite temperature. These source functions are proportional to the mass function m(x) = m 0 sin kx and its derivative m′(x). As dual geometries, we find hairy black branes and AdS solitons corresponding to deconfinement phase and confining phase of the dual field theory, respectively. It turns out that the hairy AdS solitons have lower free energy than the black branes when the Hawking temperature is smaller than the confining scale. Therefore the dual system undergoes the first order phase transition. Even though our study is limited to the so-called Q-lattice ansatz, the solution space contains a set of solutions dual to a supersymmetric mass deformation. As a physical quantity to probe the confining phase, we investigate the holographic entanglement entropy and discuss its behavior in terms of modulation effect.
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spelling doaj.art-9d93ac4ba0d14f008ffc9ffb5dd464c52022-12-21T19:56:25ZengSpringerOpenJournal of High Energy Physics1029-84792020-02-012020212210.1007/JHEP02(2020)132AdS Q-soliton and inhomogeneously mass-deformed ABJM modelByoungjoon Ahn0Seungjoon Hyun1Kyung Kiu Kim2O-Kab Kwon3Sang-A Park4Department of Physics, Yonsei UniversityDepartment of Physics, Yonsei UniversityDepartment of Physics and Astronomy, Sejong UniversityDepartment of Physics, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan UniversityDepartment of Physics, Yonsei UniversityAbstract We study dual geometries to a deformed ABJM model with spatially dependent source functions at finite temperature. These source functions are proportional to the mass function m(x) = m 0 sin kx and its derivative m′(x). As dual geometries, we find hairy black branes and AdS solitons corresponding to deconfinement phase and confining phase of the dual field theory, respectively. It turns out that the hairy AdS solitons have lower free energy than the black branes when the Hawking temperature is smaller than the confining scale. Therefore the dual system undergoes the first order phase transition. Even though our study is limited to the so-called Q-lattice ansatz, the solution space contains a set of solutions dual to a supersymmetric mass deformation. As a physical quantity to probe the confining phase, we investigate the holographic entanglement entropy and discuss its behavior in terms of modulation effect.http://link.springer.com/article/10.1007/JHEP02(2020)132Gauge-gravity correspondenceBlack Holes in String TheoryConfinement
spellingShingle Byoungjoon Ahn
Seungjoon Hyun
Kyung Kiu Kim
O-Kab Kwon
Sang-A Park
AdS Q-soliton and inhomogeneously mass-deformed ABJM model
Journal of High Energy Physics
Gauge-gravity correspondence
Black Holes in String Theory
Confinement
title AdS Q-soliton and inhomogeneously mass-deformed ABJM model
title_full AdS Q-soliton and inhomogeneously mass-deformed ABJM model
title_fullStr AdS Q-soliton and inhomogeneously mass-deformed ABJM model
title_full_unstemmed AdS Q-soliton and inhomogeneously mass-deformed ABJM model
title_short AdS Q-soliton and inhomogeneously mass-deformed ABJM model
title_sort ads q soliton and inhomogeneously mass deformed abjm model
topic Gauge-gravity correspondence
Black Holes in String Theory
Confinement
url http://link.springer.com/article/10.1007/JHEP02(2020)132
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AT okabkwon adsqsolitonandinhomogeneouslymassdeformedabjmmodel
AT sangapark adsqsolitonandinhomogeneouslymassdeformedabjmmodel