The action of geometric entropy in topologically massive gravity
Abstract Due to the presence of a gravitational anomaly in topologically massive gravity (TMG), the geometric entropy is no longer simply the Hubeny-Rangamani-Takayanagi (HRT) area; instead, it is given by the HRT area plus an anomalous contribution. We study the action of this geometric entropy on...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2023)106 |
| _version_ | 1827301383863271424 |
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| author | Molly Kaplan |
| author_facet | Molly Kaplan |
| author_sort | Molly Kaplan |
| collection | DOAJ |
| description | Abstract Due to the presence of a gravitational anomaly in topologically massive gravity (TMG), the geometric entropy is no longer simply the Hubeny-Rangamani-Takayanagi (HRT) area; instead, it is given by the HRT area plus an anomalous contribution. We study the action of this geometric entropy on the covariant phase space of classical solutions for TMG with matter fields whose action is algebraic in the metric. The result agrees precisely with the action of HRT area operators in Einstein-Hilbert gravity given in [8], i.e., it is a boundary-condition-preserving kink transformation. Furthermore, we show our result to be consistent with direct computations of semiclassical commutators of geometric entropies in pure TMG spacetimes asymptotic to planar AdS, as computed in [21]. |
| first_indexed | 2024-03-08T19:49:13Z |
| format | Article |
| id | doaj.art-4989b6ec2a714c36a7d3a842e9477739 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T16:22:14Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4989b6ec2a714c36a7d3a842e94777392024-03-31T11:08:22ZengSpringerOpenJournal of High Energy Physics1029-84792023-12-0120231212910.1007/JHEP12(2023)106The action of geometric entropy in topologically massive gravityMolly Kaplan0Department of Physics, University of California at Santa BarbaraAbstract Due to the presence of a gravitational anomaly in topologically massive gravity (TMG), the geometric entropy is no longer simply the Hubeny-Rangamani-Takayanagi (HRT) area; instead, it is given by the HRT area plus an anomalous contribution. We study the action of this geometric entropy on the covariant phase space of classical solutions for TMG with matter fields whose action is algebraic in the metric. The result agrees precisely with the action of HRT area operators in Einstein-Hilbert gravity given in [8], i.e., it is a boundary-condition-preserving kink transformation. Furthermore, we show our result to be consistent with direct computations of semiclassical commutators of geometric entropies in pure TMG spacetimes asymptotic to planar AdS, as computed in [21].https://doi.org/10.1007/JHEP12(2023)106AdS-CFT CorrespondenceChern-Simons TheoriesGauge-Gravity CorrespondenceClassical Theories of Gravity |
| spellingShingle | Molly Kaplan The action of geometric entropy in topologically massive gravity Journal of High Energy Physics AdS-CFT Correspondence Chern-Simons Theories Gauge-Gravity Correspondence Classical Theories of Gravity |
| title | The action of geometric entropy in topologically massive gravity |
| title_full | The action of geometric entropy in topologically massive gravity |
| title_fullStr | The action of geometric entropy in topologically massive gravity |
| title_full_unstemmed | The action of geometric entropy in topologically massive gravity |
| title_short | The action of geometric entropy in topologically massive gravity |
| title_sort | action of geometric entropy in topologically massive gravity |
| topic | AdS-CFT Correspondence Chern-Simons Theories Gauge-Gravity Correspondence Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP12(2023)106 |
| work_keys_str_mv | AT mollykaplan theactionofgeometricentropyintopologicallymassivegravity AT mollykaplan actionofgeometricentropyintopologicallymassivegravity |