Timelike entanglement entropy with gravitational anomalies
Abstract We study the timelike entanglement entropy (TEE) in two dimensional conformal field theories (CFT) with gravitational anomalies. We employ analytical continuation to compute the timelike entanglement entropy for a pure timelike interval in such CFTs. We find that, unlike the real part, the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2025)038 |
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| _version_ | 1849334012550578176 |
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| author | Chong-Sun Chu Himanshu Parihar |
| author_facet | Chong-Sun Chu Himanshu Parihar |
| author_sort | Chong-Sun Chu |
| collection | DOAJ |
| description | Abstract We study the timelike entanglement entropy (TEE) in two dimensional conformal field theories (CFT) with gravitational anomalies. We employ analytical continuation to compute the timelike entanglement entropy for a pure timelike interval in such CFTs. We find that, unlike the real part, the imaginary part of the TEE displays an asymmetric dependence on the central charges of the left and right moving modes. We propose that the asymmetric dependence on central charges of the imaginary part of the TEE can be used to probe the presence of gravitational anomalies in chiral CFT. Furthermore, we propose a holographic construction to obtain the timelike entanglement entropy from the bulk dual geometries involving topologically massive gravity in AdS3. The holographic results obtained match exactly with the dual field theory results. |
| format | Article |
| id | doaj-art-94e61fb842204617869f64f98a476e9f |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-94e61fb842204617869f64f98a476e9f2025-08-20T03:45:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025812610.1007/JHEP08(2025)038Timelike entanglement entropy with gravitational anomaliesChong-Sun Chu0Himanshu Parihar1Department of Physics, National Tsing-Hua UniversityCenter of Theory and Computation, National Tsing-Hua UniversityAbstract We study the timelike entanglement entropy (TEE) in two dimensional conformal field theories (CFT) with gravitational anomalies. We employ analytical continuation to compute the timelike entanglement entropy for a pure timelike interval in such CFTs. We find that, unlike the real part, the imaginary part of the TEE displays an asymmetric dependence on the central charges of the left and right moving modes. We propose that the asymmetric dependence on central charges of the imaginary part of the TEE can be used to probe the presence of gravitational anomalies in chiral CFT. Furthermore, we propose a holographic construction to obtain the timelike entanglement entropy from the bulk dual geometries involving topologically massive gravity in AdS3. The holographic results obtained match exactly with the dual field theory results.https://doi.org/10.1007/JHEP08(2025)038AdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Chong-Sun Chu Himanshu Parihar Timelike entanglement entropy with gravitational anomalies Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | Timelike entanglement entropy with gravitational anomalies |
| title_full | Timelike entanglement entropy with gravitational anomalies |
| title_fullStr | Timelike entanglement entropy with gravitational anomalies |
| title_full_unstemmed | Timelike entanglement entropy with gravitational anomalies |
| title_short | Timelike entanglement entropy with gravitational anomalies |
| title_sort | timelike entanglement entropy with gravitational anomalies |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP08(2025)038 |
| work_keys_str_mv | AT chongsunchu timelikeentanglemententropywithgravitationalanomalies AT himanshuparihar timelikeentanglemententropywithgravitationalanomalies |