Holographic and QFT complexity with angular momentum

Abstract We study the influence of angular momentum on quantum complexity for CFT states holographically dual to rotating black holes. Using the holographic complexity=action (CA) and complexity=volume (CV) proposals, we study the full time dependence of complexity and the complexity of formation fo...

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Autores principales:	Alice Bernamonti, Francesco Bigazzi, Davide Billo, Lapo Faggi, Federico Galli
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	AdS-CFT Correspondence Black Holes Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/eef63f923b0d4bc2a9724306fac6b565
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spelling	oai:doaj.org-article:eef63f923b0d4bc2a9724306fac6b5652021-11-14T12:41:07ZHolographic and QFT complexity with angular momentum10.1007/JHEP11(2021)0371029-8479https://doaj.org/article/eef63f923b0d4bc2a9724306fac6b5652021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)037https://doaj.org/toc/1029-8479Abstract We study the influence of angular momentum on quantum complexity for CFT states holographically dual to rotating black holes. Using the holographic complexity=action (CA) and complexity=volume (CV) proposals, we study the full time dependence of complexity and the complexity of formation for two dimensional states dual to rotating BTZ. The obtained results and their dependence on angular momentum turn out to be analogous to those of charged states dual to Reissner-Nordström AdS black holes. For CA, our computation carefully accounts for the counterterm in the gravity action, which was not included in previous analysis in the literature. This affects the complexity early time dependence and its effect becomes negligible close to extremality. In the grand canonical ensemble, the CA and CV complexity of formation are linear in the temperature, and diverge with the same structure in the speed of light angular velocity limit. For CA the inclusion of the counterterm is crucial for both effects. We also address the problem of studying holographic complexity for higher dimensional rotating black holes, focusing on the four dimensional Kerr-AdS case. Carefully taking into account all ingredients, we show that the late time limit of the CA growth rate saturates the expected bound, and find the CV complexity of formation of large black holes diverges in the critical angular velocity limit. Our holographic analysis is complemented by the study of circuit complexity in a two dimensional free scalar model for a thermofield double (TFD) state with angular momentum. We show how this can be given a description in terms of non-rotating TFD states introducing mode-by-mode effective temperatures and times. We comment on the similarities and differences of the holographic and QFT complexity results.Alice BernamontiFrancesco BigazziDavide BilloLapo FaggiFederico GalliSpringerOpenarticleAdS-CFT CorrespondenceBlack HolesField Theories in Lower DimensionsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-71 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	AdS-CFT Correspondence Black Holes Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	AdS-CFT Correspondence Black Holes Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Alice Bernamonti Francesco Bigazzi Davide Billo Lapo Faggi Federico Galli Holographic and QFT complexity with angular momentum
description	Abstract We study the influence of angular momentum on quantum complexity for CFT states holographically dual to rotating black holes. Using the holographic complexity=action (CA) and complexity=volume (CV) proposals, we study the full time dependence of complexity and the complexity of formation for two dimensional states dual to rotating BTZ. The obtained results and their dependence on angular momentum turn out to be analogous to those of charged states dual to Reissner-Nordström AdS black holes. For CA, our computation carefully accounts for the counterterm in the gravity action, which was not included in previous analysis in the literature. This affects the complexity early time dependence and its effect becomes negligible close to extremality. In the grand canonical ensemble, the CA and CV complexity of formation are linear in the temperature, and diverge with the same structure in the speed of light angular velocity limit. For CA the inclusion of the counterterm is crucial for both effects. We also address the problem of studying holographic complexity for higher dimensional rotating black holes, focusing on the four dimensional Kerr-AdS case. Carefully taking into account all ingredients, we show that the late time limit of the CA growth rate saturates the expected bound, and find the CV complexity of formation of large black holes diverges in the critical angular velocity limit. Our holographic analysis is complemented by the study of circuit complexity in a two dimensional free scalar model for a thermofield double (TFD) state with angular momentum. We show how this can be given a description in terms of non-rotating TFD states introducing mode-by-mode effective temperatures and times. We comment on the similarities and differences of the holographic and QFT complexity results.
format	article
author	Alice Bernamonti Francesco Bigazzi Davide Billo Lapo Faggi Federico Galli
author_facet	Alice Bernamonti Francesco Bigazzi Davide Billo Lapo Faggi Federico Galli
author_sort	Alice Bernamonti
title	Holographic and QFT complexity with angular momentum
title_short	Holographic and QFT complexity with angular momentum
title_full	Holographic and QFT complexity with angular momentum
title_fullStr	Holographic and QFT complexity with angular momentum
title_full_unstemmed	Holographic and QFT complexity with angular momentum
title_sort	holographic and qft complexity with angular momentum
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/eef63f923b0d4bc2a9724306fac6b565
work_keys_str_mv	AT alicebernamonti holographicandqftcomplexitywithangularmomentum AT francescobigazzi holographicandqftcomplexitywithangularmomentum AT davidebillo holographicandqftcomplexitywithangularmomentum AT lapofaggi holographicandqftcomplexitywithangularmomentum AT federicogalli holographicandqftcomplexitywithangularmomentum
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Holographic and QFT complexity with angular momentum

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