Revisit the entanglement entropy with gravitational anomaly
Abstract In this paper we study the entanglement entropy in the CFT2, whose gravity dual is AdS3 spacetime with a Chern-Simons term. Using the generalized Rindler method, we obtain the Rindler transformation in the two-dimensional planar CFT and compute the entanglement entropy of the CFT with gravi...
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Format: | Article |
Language: | English |
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SpringerOpen
2023-11-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP11(2023)142 |
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author | Peng-Zhang He Hai-Qing Zhang |
author_facet | Peng-Zhang He Hai-Qing Zhang |
author_sort | Peng-Zhang He |
collection | DOAJ |
description | Abstract In this paper we study the entanglement entropy in the CFT2, whose gravity dual is AdS3 spacetime with a Chern-Simons term. Using the generalized Rindler method, we obtain the Rindler transformation in the two-dimensional planar CFT and compute the entanglement entropy of the CFT with gravitational anomalies. The conditions under which the entanglement entropy may have anomalous contributions is also discussed. In addition, we present a relatively general form of the Rindler AdS metric and compute its thermal entropy, which agrees with the entanglement entropy in the field theory. Moreover, we utilize the conformal transformation, which maps a cylinder to a plane, to compute the entanglement entropy of the CFT residing on a cylinder, as well as the entanglement entropy of the CFT at finite temperature on a plane. The corresponding contribution of the Chern-Simons term in gravity to the black hole thermal entropy is also obtained from this approach. These results are important for further understandings of the two-dimensional CFT with gravitational anomalies. |
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institution | Directory Open Access Journal |
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language | English |
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spelling | doaj.art-79bcca0dfc594a359444c0a2bac184202024-04-21T11:05:37ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112610.1007/JHEP11(2023)142Revisit the entanglement entropy with gravitational anomalyPeng-Zhang He0Hai-Qing Zhang1Center for Gravitational Physics, Department of Space Science, Beihang UniversityCenter for Gravitational Physics, Department of Space Science, Beihang UniversityAbstract In this paper we study the entanglement entropy in the CFT2, whose gravity dual is AdS3 spacetime with a Chern-Simons term. Using the generalized Rindler method, we obtain the Rindler transformation in the two-dimensional planar CFT and compute the entanglement entropy of the CFT with gravitational anomalies. The conditions under which the entanglement entropy may have anomalous contributions is also discussed. In addition, we present a relatively general form of the Rindler AdS metric and compute its thermal entropy, which agrees with the entanglement entropy in the field theory. Moreover, we utilize the conformal transformation, which maps a cylinder to a plane, to compute the entanglement entropy of the CFT residing on a cylinder, as well as the entanglement entropy of the CFT at finite temperature on a plane. The corresponding contribution of the Chern-Simons term in gravity to the black hole thermal entropy is also obtained from this approach. These results are important for further understandings of the two-dimensional CFT with gravitational anomalies.https://doi.org/10.1007/JHEP11(2023)142AdS-CFT CorrespondenceGauge-Gravity Correspondence |
spellingShingle | Peng-Zhang He Hai-Qing Zhang Revisit the entanglement entropy with gravitational anomaly Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence |
title | Revisit the entanglement entropy with gravitational anomaly |
title_full | Revisit the entanglement entropy with gravitational anomaly |
title_fullStr | Revisit the entanglement entropy with gravitational anomaly |
title_full_unstemmed | Revisit the entanglement entropy with gravitational anomaly |
title_short | Revisit the entanglement entropy with gravitational anomaly |
title_sort | revisit the entanglement entropy with gravitational anomaly |
topic | AdS-CFT Correspondence Gauge-Gravity Correspondence |
url | https://doi.org/10.1007/JHEP11(2023)142 |
work_keys_str_mv | AT pengzhanghe revisittheentanglemententropywithgravitationalanomaly AT haiqingzhang revisittheentanglemententropywithgravitationalanomaly |