On subregion action complexity in AdS3 and in the BTZ black hole

On subregion action complexity in AdS3 and in the BTZ black hole

Abstract We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. Th...

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Main Authors: Roberto Auzzi, Stefano Baiguera, Andrea Legramandi, Giuseppe Nardelli, Pratim Roy, Nicolò Zenoni
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
AdS-CFT Correspondence
Black Holes
Online Access:https://doi.org/10.1007/JHEP01(2020)066
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spelling doaj-aad1814133ea48609170b2e0f8cc81092021-01-17T12:06:32ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113210.1007/JHEP01(2020)066On subregion action complexity in AdS3 and in the BTZ black holeRoberto Auzzi0Stefano Baiguera1Andrea Legramandi2Giuseppe Nardelli3Pratim Roy4Nicolò Zenoni5Dipartimento di Matematica e Fisica, Università Cattolica del Sacro CuoreUniversità degli studi di Milano-Bicocca and INFN — Sezione di Milano-BicoccaUniversità degli studi di Milano-Bicocca and INFN — Sezione di Milano-BicoccaDipartimento di Matematica e Fisica, Università Cattolica del Sacro CuoreSchool of Physical Sciences, NISERDipartimento di Matematica e Fisica, Università Cattolica del Sacro CuoreAbstract We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments subregion in AdS3, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion.https://doi.org/10.1007/JHEP01(2020)066AdS-CFT CorrespondenceBlack Holes
collection DOAJ
language English
format Article
sources DOAJ
author Roberto Auzzi
Stefano Baiguera
Andrea Legramandi
Giuseppe Nardelli
Pratim Roy
Nicolò Zenoni
spellingShingle Roberto Auzzi
Stefano Baiguera
Andrea Legramandi
Giuseppe Nardelli
Pratim Roy
Nicolò Zenoni
On subregion action complexity in AdS3 and in the BTZ black hole
Journal of High Energy Physics
AdS-CFT Correspondence
Black Holes
author_facet Roberto Auzzi
Stefano Baiguera
Andrea Legramandi
Giuseppe Nardelli
Pratim Roy
Nicolò Zenoni
author_sort Roberto Auzzi
title On subregion action complexity in AdS3 and in the BTZ black hole
title_short On subregion action complexity in AdS3 and in the BTZ black hole
title_full On subregion action complexity in AdS3 and in the BTZ black hole
title_fullStr On subregion action complexity in AdS3 and in the BTZ black hole
title_full_unstemmed On subregion action complexity in AdS3 and in the BTZ black hole
title_sort on subregion action complexity in ads3 and in the btz black hole
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-01-01
description Abstract We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments subregion in AdS3, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion.
topic AdS-CFT Correspondence
Black Holes
url https://doi.org/10.1007/JHEP01(2020)066
work_keys_str_mv AT robertoauzzi onsubregionactioncomplexityinads3andinthebtzblackhole
AT stefanobaiguera onsubregionactioncomplexityinads3andinthebtzblackhole
AT andrealegramandi onsubregionactioncomplexityinads3andinthebtzblackhole
AT giuseppenardelli onsubregionactioncomplexityinads3andinthebtzblackhole
AT pratimroy onsubregionactioncomplexityinads3andinthebtzblackhole
AT nicolozenoni onsubregionactioncomplexityinads3andinthebtzblackhole
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