Adiabatic pumping solutions in global AdS
Abstract We construct a family of very simple stationary solutions to gravity coupled to a massless scalar field in global AdS. They involve a constantly rising source for the scalar field at the boundary and thereby we name them pumping solutions. We construct them numerically in D = 4. They are re...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2017-05-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP05(2017)141 |
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author | Pablo Carracedo Javier Mas Daniele Musso Alexandre Serantes |
author_facet | Pablo Carracedo Javier Mas Daniele Musso Alexandre Serantes |
author_sort | Pablo Carracedo |
collection | DOAJ |
description | Abstract We construct a family of very simple stationary solutions to gravity coupled to a massless scalar field in global AdS. They involve a constantly rising source for the scalar field at the boundary and thereby we name them pumping solutions. We construct them numerically in D = 4. They are regular and, generically, have negative mass. We perform a study of linear and nonlinear stability and find both stable and unstable branches. In the latter case, solutions belonging to different sub-branches can either decay to black holes or to limiting cycles. This observation motivates the search for non-stationary exactly timeperiodic solutions which we actually construct. We clarify the role of pumping solutions in the context of quasistatic adiabatic quenches. In D = 3 the pumping solutions can be related to other previously known solutions, like magnetic or translationally-breaking backgrounds. From this we derive an analytic expression. |
first_indexed | 2024-12-19T05:52:22Z |
format | Article |
id | doaj.art-4ec958c0567b4091a066ef60158c972d |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-19T05:52:22Z |
publishDate | 2017-05-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-4ec958c0567b4091a066ef60158c972d2022-12-21T20:33:35ZengSpringerOpenJournal of High Energy Physics1029-84792017-05-012017513110.1007/JHEP05(2017)141Adiabatic pumping solutions in global AdSPablo Carracedo0Javier Mas1Daniele Musso2Alexandre Serantes3Meteo-GaliciaDepartamento de Fısica de Partículas, Universidade de Santiago de CompostelaDepartamento de Fısica de Partículas, Universidade de Santiago de CompostelaDepartamento de Fısica de Partículas, Universidade de Santiago de CompostelaAbstract We construct a family of very simple stationary solutions to gravity coupled to a massless scalar field in global AdS. They involve a constantly rising source for the scalar field at the boundary and thereby we name them pumping solutions. We construct them numerically in D = 4. They are regular and, generically, have negative mass. We perform a study of linear and nonlinear stability and find both stable and unstable branches. In the latter case, solutions belonging to different sub-branches can either decay to black holes or to limiting cycles. This observation motivates the search for non-stationary exactly timeperiodic solutions which we actually construct. We clarify the role of pumping solutions in the context of quasistatic adiabatic quenches. In D = 3 the pumping solutions can be related to other previously known solutions, like magnetic or translationally-breaking backgrounds. From this we derive an analytic expression.http://link.springer.com/article/10.1007/JHEP05(2017)141AdS-CFT CorrespondenceGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT) |
spellingShingle | Pablo Carracedo Javier Mas Daniele Musso Alexandre Serantes Adiabatic pumping solutions in global AdS Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
title | Adiabatic pumping solutions in global AdS |
title_full | Adiabatic pumping solutions in global AdS |
title_fullStr | Adiabatic pumping solutions in global AdS |
title_full_unstemmed | Adiabatic pumping solutions in global AdS |
title_short | Adiabatic pumping solutions in global AdS |
title_sort | adiabatic pumping solutions in global ads |
topic | AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
url | http://link.springer.com/article/10.1007/JHEP05(2017)141 |
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