Reparameterization dependence is useful for holographic complexity

Reparameterization dependence is useful for holographic complexity

Abstract Holographic complexity in the “complexity equals action” approach is reconsidered relaxing the requirement of reparameterization invariance of the action with the prescription that the action vanish in any static, vacuum causal diamond. This implies that vacuum anti-de Sitter space plays th...

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Main Authors: Ayoub Mounim, Wolfgang Mück
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:Journal of High Energy Physics
Subjects:
AdS-CFT Correspondence
Black Holes
Online Access:https://doi.org/10.1007/JHEP07(2021)010
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spelling doaj-4ad98f3c3003428dabe9de4d032147682021-07-11T11:49:34ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021712710.1007/JHEP07(2021)010Reparameterization dependence is useful for holographic complexityAyoub Mounim0Wolfgang Mück1Dipartimento di Fisica “Ettore Pancini”, Università degli Studi di Napoli “Federico II”Dipartimento di Fisica “Ettore Pancini”, Università degli Studi di Napoli “Federico II”Abstract Holographic complexity in the “complexity equals action” approach is reconsidered relaxing the requirement of reparameterization invariance of the action with the prescription that the action vanish in any static, vacuum causal diamond. This implies that vacuum anti-de Sitter space plays the role of the reference state. Moreover, the complexity of an anti-de Sitter-Schwarzschild black hole becomes intrinsically finite and saturates Lloyd’s bound after a critical time. It is also argued that several artifacts, such as the unphysical negative-time interval, can be removed by truly considering the bulk dual of the thermofield double state.https://doi.org/10.1007/JHEP07(2021)010AdS-CFT CorrespondenceBlack Holes
collection DOAJ
language English
format Article
sources DOAJ
author Ayoub Mounim
Wolfgang Mück
spellingShingle Ayoub Mounim
Wolfgang Mück
Reparameterization dependence is useful for holographic complexity
Journal of High Energy Physics
AdS-CFT Correspondence
Black Holes
author_facet Ayoub Mounim
Wolfgang Mück
author_sort Ayoub Mounim
title Reparameterization dependence is useful for holographic complexity
title_short Reparameterization dependence is useful for holographic complexity
title_full Reparameterization dependence is useful for holographic complexity
title_fullStr Reparameterization dependence is useful for holographic complexity
title_full_unstemmed Reparameterization dependence is useful for holographic complexity
title_sort reparameterization dependence is useful for holographic complexity
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-07-01
description Abstract Holographic complexity in the “complexity equals action” approach is reconsidered relaxing the requirement of reparameterization invariance of the action with the prescription that the action vanish in any static, vacuum causal diamond. This implies that vacuum anti-de Sitter space plays the role of the reference state. Moreover, the complexity of an anti-de Sitter-Schwarzschild black hole becomes intrinsically finite and saturates Lloyd’s bound after a critical time. It is also argued that several artifacts, such as the unphysical negative-time interval, can be removed by truly considering the bulk dual of the thermofield double state.
topic AdS-CFT Correspondence
Black Holes
url https://doi.org/10.1007/JHEP07(2021)010
work_keys_str_mv AT ayoubmounim reparameterizationdependenceisusefulforholographiccomplexity
AT wolfgangmuck reparameterizationdependenceisusefulforholographiccomplexity
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