Holographic non-computers

We introduce the notion of holographic non-computer as a system which exhibits parametrically large delays in the growth of complexity, as calculated within the Complexity-Action proposal. Some known examples of this behavior include extremal black holes and near-extremal hyperbolic black holes. Gen...

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Detalles Bibliográficos
Autores: Fernández Barbón, José L., Martín García, Javier
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/193902
Acceso en línea:http://hdl.handle.net/10261/193902
Access Level:acceso abierto
Palabra clave:AdS-CFT correspondence
Gauge-gravity correspondence
Black holes
Conformal field theory
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spelling Holographic non-computersFernández Barbón, José L.Martín García, JavierAdS-CFT correspondenceGauge-gravity correspondenceBlack holesConformal field theoryWe introduce the notion of holographic non-computer as a system which exhibits parametrically large delays in the growth of complexity, as calculated within the Complexity-Action proposal. Some known examples of this behavior include extremal black holes and near-extremal hyperbolic black holes. Generic black holes in higher-dimensional gravity also show non-computing features. Within the 1/d expansion of General Relativity, we show that large-d scalings which capture the qualitative features of complexity, such as a linear growth regime and a plateau at exponentially long times, also exhibit an initial computational delay proportional to d. While consistent for large AdS black holes, the required ‘non-computing’ scalings are incompatible with thermodynamic stability for Schwarzschild black holes, unless they are tightly caged.Peer reviewedBarbon, J.[https://orcid.org/0000-0002-3602-9310]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]201920192018info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/193902reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)InglésSíinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1939022026-05-22T06:33:51Z
dc.title.none.fl_str_mv Holographic non-computers
title Holographic non-computers
spellingShingle Holographic non-computers
Fernández Barbón, José L.
AdS-CFT correspondence
Gauge-gravity correspondence
Black holes
Conformal field theory
title_short Holographic non-computers
title_full Holographic non-computers
title_fullStr Holographic non-computers
title_full_unstemmed Holographic non-computers
title_sort Holographic non-computers
dc.creator.none.fl_str_mv Fernández Barbón, José L.
Martín García, Javier
author Fernández Barbón, José L.
author_facet Fernández Barbón, José L.
Martín García, Javier
author_role author
author2 Martín García, Javier
author2_role author
dc.contributor.none.fl_str_mv Barbon, J.[https://orcid.org/0000-0002-3602-9310]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv AdS-CFT correspondence
Gauge-gravity correspondence
Black holes
Conformal field theory
topic AdS-CFT correspondence
Gauge-gravity correspondence
Black holes
Conformal field theory
description We introduce the notion of holographic non-computer as a system which exhibits parametrically large delays in the growth of complexity, as calculated within the Complexity-Action proposal. Some known examples of this behavior include extremal black holes and near-extremal hyperbolic black holes. Generic black holes in higher-dimensional gravity also show non-computing features. Within the 1/d expansion of General Relativity, we show that large-d scalings which capture the qualitative features of complexity, such as a linear growth regime and a plateau at exponentially long times, also exhibit an initial computational delay proportional to d. While consistent for large AdS black holes, the required ‘non-computing’ scalings are incompatible with thermodynamic stability for Schwarzschild black holes, unless they are tightly caged.
publishDate 2018
dc.date.none.fl_str_mv 2018
2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/193902
url http://hdl.handle.net/10261/193902
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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