Complexity and behind the horizon cut off
Abstract Motivated by T T ¯ $$ T\overline{T} $$ deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cutoff using “complexity=action” proposal. In order to have a late time behavior consistent with Lloyd’s bound one is forced to have a cutoff be...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP12(2018)090 |
| _version_ | 1818130587908571136 |
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| author | Amin Akhavan Mohsen Alishahiha Ali Naseh Hamed Zolfi |
| author_facet | Amin Akhavan Mohsen Alishahiha Ali Naseh Hamed Zolfi |
| author_sort | Amin Akhavan |
| collection | DOAJ |
| description | Abstract Motivated by T T ¯ $$ T\overline{T} $$ deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cutoff using “complexity=action” proposal. In order to have a late time behavior consistent with Lloyd’s bound one is forced to have a cutoff behind the horizon whose value is fixed by the boundary cutoff. Using this result we compute holographic complexity for two dimensional AdS solutions where we get expected late times linear growth. It is in contrast with the naively computation which is done without assuming the cutoff where the complexity approaches a constant at the late time. |
| first_indexed | 2024-12-11T08:07:25Z |
| format | Article |
| id | doaj.art-ebd9ad60ff774ca1bc21648a044ce00c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T08:07:25Z |
| publishDate | 2018-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ebd9ad60ff774ca1bc21648a044ce00c2022-12-22T01:14:57ZengSpringerOpenJournal of High Energy Physics1029-84792018-12-0120181211410.1007/JHEP12(2018)090Complexity and behind the horizon cut offAmin Akhavan0Mohsen Alishahiha1Ali Naseh2Hamed Zolfi3School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM)School of Physics, Institute for Research in Fundamental Sciences (IPM)School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM)Department of Physics, Sharif University of TechnologyAbstract Motivated by T T ¯ $$ T\overline{T} $$ deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cutoff using “complexity=action” proposal. In order to have a late time behavior consistent with Lloyd’s bound one is forced to have a cutoff behind the horizon whose value is fixed by the boundary cutoff. Using this result we compute holographic complexity for two dimensional AdS solutions where we get expected late times linear growth. It is in contrast with the naively computation which is done without assuming the cutoff where the complexity approaches a constant at the late time.http://link.springer.com/article/10.1007/JHEP12(2018)090AdS-CFT CorrespondenceBlack HolesConformal Field Theory |
| spellingShingle | Amin Akhavan Mohsen Alishahiha Ali Naseh Hamed Zolfi Complexity and behind the horizon cut off Journal of High Energy Physics AdS-CFT Correspondence Black Holes Conformal Field Theory |
| title | Complexity and behind the horizon cut off |
| title_full | Complexity and behind the horizon cut off |
| title_fullStr | Complexity and behind the horizon cut off |
| title_full_unstemmed | Complexity and behind the horizon cut off |
| title_short | Complexity and behind the horizon cut off |
| title_sort | complexity and behind the horizon cut off |
| topic | AdS-CFT Correspondence Black Holes Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP12(2018)090 |
| work_keys_str_mv | AT aminakhavan complexityandbehindthehorizoncutoff AT mohsenalishahiha complexityandbehindthehorizoncutoff AT alinaseh complexityandbehindthehorizoncutoff AT hamedzolfi complexityandbehindthehorizoncutoff |