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...

Full description

Bibliographic Details
Main Authors: Pablo Carracedo, Javier Mas, Daniele Musso, Alexandre Serantes
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2017)141
_version_ 1818846866487377920
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
work_keys_str_mv AT pablocarracedo adiabaticpumpingsolutionsinglobalads
AT javiermas adiabaticpumpingsolutionsinglobalads
AT danielemusso adiabaticpumpingsolutionsinglobalads
AT alexandreserantes adiabaticpumpingsolutionsinglobalads