Regularizations of action-complexity for a pure BTZ black hole microstate
Abstract In the action-complexity proposal there are two different methods to regularize the gravitational on-shell action, which are equivalent in the framework of AdS/CFT. In this paper, we want to study the equivalence of them for a pure BTZ black hole microstate. The microstate is obtained from...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2020)020 |
| _version_ | 1819071703122182144 |
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| author | Farzad Omidi |
| author_facet | Farzad Omidi |
| author_sort | Farzad Omidi |
| collection | DOAJ |
| description | Abstract In the action-complexity proposal there are two different methods to regularize the gravitational on-shell action, which are equivalent in the framework of AdS/CFT. In this paper, we want to study the equivalence of them for a pure BTZ black hole microstate. The microstate is obtained from a two-sided BTZ black hole truncated by a dynamical timelike ETW brane. Moreover, it is dual to a finite energy pure state in a two-dimensional CFT. We show that if one includes the timelike counterterms inspired by holographic renormalization as well as the Gibbons-Hawking-York term on the timelike boundary of the WDW patch, which exists in one of the regularizations, the coefficients of the UV divergent terms of action-complexity in the two methods become equal to each other. Furthermore, we compare the finite terms of action-complexity in both regularizations, and show that when the UV cutoff surface is close enough to the asymptotic boundary of the bulk spacetime, action-complexities in both regularizations become exactly equal to each other. |
| first_indexed | 2024-12-21T17:26:02Z |
| format | Article |
| id | doaj.art-aa225390faf34fd786035f581fc1e994 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T17:26:02Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-aa225390faf34fd786035f581fc1e9942022-12-21T18:56:03ZengSpringerOpenJournal of High Energy Physics1029-84792020-07-012020713410.1007/JHEP07(2020)020Regularizations of action-complexity for a pure BTZ black hole microstateFarzad Omidi0School of Physics, Institute for Research in Fundamental Sciences (IPM)Abstract In the action-complexity proposal there are two different methods to regularize the gravitational on-shell action, which are equivalent in the framework of AdS/CFT. In this paper, we want to study the equivalence of them for a pure BTZ black hole microstate. The microstate is obtained from a two-sided BTZ black hole truncated by a dynamical timelike ETW brane. Moreover, it is dual to a finite energy pure state in a two-dimensional CFT. We show that if one includes the timelike counterterms inspired by holographic renormalization as well as the Gibbons-Hawking-York term on the timelike boundary of the WDW patch, which exists in one of the regularizations, the coefficients of the UV divergent terms of action-complexity in the two methods become equal to each other. Furthermore, we compare the finite terms of action-complexity in both regularizations, and show that when the UV cutoff surface is close enough to the asymptotic boundary of the bulk spacetime, action-complexities in both regularizations become exactly equal to each other.http://link.springer.com/article/10.1007/JHEP07(2020)020AdS-CFT CorrespondenceGauge-gravity correspondence |
| spellingShingle | Farzad Omidi Regularizations of action-complexity for a pure BTZ black hole microstate Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence |
| title | Regularizations of action-complexity for a pure BTZ black hole microstate |
| title_full | Regularizations of action-complexity for a pure BTZ black hole microstate |
| title_fullStr | Regularizations of action-complexity for a pure BTZ black hole microstate |
| title_full_unstemmed | Regularizations of action-complexity for a pure BTZ black hole microstate |
| title_short | Regularizations of action-complexity for a pure BTZ black hole microstate |
| title_sort | regularizations of action complexity for a pure btz black hole microstate |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence |
| url | http://link.springer.com/article/10.1007/JHEP07(2020)020 |
| work_keys_str_mv | AT farzadomidi regularizationsofactioncomplexityforapurebtzblackholemicrostate |