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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Main Authors: Peng-Zhang He, Hai-Qing Zhang
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:Journal of High Energy Physics
Subjects:
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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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