Anomalies in gravitational charge algebras of null boundaries and black hole entropy
Abstract We revisit the covariant phase space formalism applied to gravitational theories with null boundaries, utilizing the most general boundary conditions consistent with a fixed null normal. To fix the ambiguity inherent in the Wald-Zoupas definition of quasilocal charges, we propose a new prin...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)137 |
| _version_ | 1818665049190825984 |
|---|---|
| author | Venkatesa Chandrasekaran Antony J. Speranza |
| author_facet | Venkatesa Chandrasekaran Antony J. Speranza |
| author_sort | Venkatesa Chandrasekaran |
| collection | DOAJ |
| description | Abstract We revisit the covariant phase space formalism applied to gravitational theories with null boundaries, utilizing the most general boundary conditions consistent with a fixed null normal. To fix the ambiguity inherent in the Wald-Zoupas definition of quasilocal charges, we propose a new principle, based on holographic reasoning, that the flux be of Dirichlet form. This also produces an expression for the analog of the Brown-York stress tensor on the null surface. Defining the algebra of charges using the Barnich-Troessaert bracket for open subsystems, we give a general formula for the central — or more generally, abelian — extensions that appear in terms of the anomalous transformation of the boundary term in the gravitational action. This anomaly arises from having fixed a frame for the null normal, and we draw parallels between it and the holographic Weyl anomaly that occurs in AdS/CFT. As an application of this formalism, we analyze the near-horizon Virasoro symmetry considered by Haco, Hawking, Perry, and Strominger, and perform a systematic derivation of the fluxes and central charges. Applying the Cardy formula to the result yields an entropy that is twice the Bekenstein-Hawking entropy of the horizon. Motivated by the extended Hilbert space construction, we interpret this in terms of a pair of entangled CFTs associated with edge modes on either side of the bifurcation surface. |
| first_indexed | 2024-12-17T05:42:27Z |
| format | Article |
| id | doaj.art-36912a5fe58548e3a96eaad43c6909a5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T05:42:27Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-36912a5fe58548e3a96eaad43c6909a52022-12-21T22:01:24ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021115610.1007/JHEP01(2021)137Anomalies in gravitational charge algebras of null boundaries and black hole entropyVenkatesa Chandrasekaran0Antony J. Speranza1Center for Theoretical Physics, Department of Physics, University of CaliforniaPerimeter Institute for Theoretical PhysicsAbstract We revisit the covariant phase space formalism applied to gravitational theories with null boundaries, utilizing the most general boundary conditions consistent with a fixed null normal. To fix the ambiguity inherent in the Wald-Zoupas definition of quasilocal charges, we propose a new principle, based on holographic reasoning, that the flux be of Dirichlet form. This also produces an expression for the analog of the Brown-York stress tensor on the null surface. Defining the algebra of charges using the Barnich-Troessaert bracket for open subsystems, we give a general formula for the central — or more generally, abelian — extensions that appear in terms of the anomalous transformation of the boundary term in the gravitational action. This anomaly arises from having fixed a frame for the null normal, and we draw parallels between it and the holographic Weyl anomaly that occurs in AdS/CFT. As an application of this formalism, we analyze the near-horizon Virasoro symmetry considered by Haco, Hawking, Perry, and Strominger, and perform a systematic derivation of the fluxes and central charges. Applying the Cardy formula to the result yields an entropy that is twice the Bekenstein-Hawking entropy of the horizon. Motivated by the extended Hilbert space construction, we interpret this in terms of a pair of entangled CFTs associated with edge modes on either side of the bifurcation surface.https://doi.org/10.1007/JHEP01(2021)137Black HolesClassical Theories of GravitySpace-Time SymmetriesConformal Field Theory |
| spellingShingle | Venkatesa Chandrasekaran Antony J. Speranza Anomalies in gravitational charge algebras of null boundaries and black hole entropy Journal of High Energy Physics Black Holes Classical Theories of Gravity Space-Time Symmetries Conformal Field Theory |
| title | Anomalies in gravitational charge algebras of null boundaries and black hole entropy |
| title_full | Anomalies in gravitational charge algebras of null boundaries and black hole entropy |
| title_fullStr | Anomalies in gravitational charge algebras of null boundaries and black hole entropy |
| title_full_unstemmed | Anomalies in gravitational charge algebras of null boundaries and black hole entropy |
| title_short | Anomalies in gravitational charge algebras of null boundaries and black hole entropy |
| title_sort | anomalies in gravitational charge algebras of null boundaries and black hole entropy |
| topic | Black Holes Classical Theories of Gravity Space-Time Symmetries Conformal Field Theory |
| url | https://doi.org/10.1007/JHEP01(2021)137 |
| work_keys_str_mv | AT venkatesachandrasekaran anomaliesingravitationalchargealgebrasofnullboundariesandblackholeentropy AT antonyjsperanza anomaliesingravitationalchargealgebrasofnullboundariesandblackholeentropy |