Einstein gravity from Conformal Gravity in 6D
Abstract We extend Maldacena’s argument, namely, obtaining Einstein gravity from Conformal Gravity, to six dimensional manifolds. The proof relies on a particular combination of conformal (and topological) invariants, which makes manifest the fact that 6D Conformal Gravity admits an Einstein sector....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)134 |
| _version_ | 1831560258340782080 |
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| author | Giorgos Anastasiou Ignacio J. Araya Rodrigo Olea |
| author_facet | Giorgos Anastasiou Ignacio J. Araya Rodrigo Olea |
| author_sort | Giorgos Anastasiou |
| collection | DOAJ |
| description | Abstract We extend Maldacena’s argument, namely, obtaining Einstein gravity from Conformal Gravity, to six dimensional manifolds. The proof relies on a particular combination of conformal (and topological) invariants, which makes manifest the fact that 6D Conformal Gravity admits an Einstein sector. Then, by taking generalized Neumann boundary conditions, the Conformal Gravity action reduces to the renormalized Einstein-AdS action. These restrictions are implied by the vanishing of the traceless Ricci tensor, which is the defining property of any Einstein spacetime. The equivalence between Conformal and Einstein gravity renders trivial the Einstein solutions of 6D Critical Gravity at the bicritical point. |
| first_indexed | 2024-12-17T05:43:01Z |
| format | Article |
| id | doaj.art-990d8082646941c195a6465508cd9143 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T05:43:01Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-990d8082646941c195a6465508cd91432022-12-21T22:01:24ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021113110.1007/JHEP01(2021)134Einstein gravity from Conformal Gravity in 6DGiorgos Anastasiou0Ignacio J. Araya1Rodrigo Olea2Instituto de Física, Pontificia Universidad Católica de ValparaísoDepartamento de Ciencias Físicas, Universidad Andres BelloDepartamento de Ciencias Físicas, Universidad Andres BelloAbstract We extend Maldacena’s argument, namely, obtaining Einstein gravity from Conformal Gravity, to six dimensional manifolds. The proof relies on a particular combination of conformal (and topological) invariants, which makes manifest the fact that 6D Conformal Gravity admits an Einstein sector. Then, by taking generalized Neumann boundary conditions, the Conformal Gravity action reduces to the renormalized Einstein-AdS action. These restrictions are implied by the vanishing of the traceless Ricci tensor, which is the defining property of any Einstein spacetime. The equivalence between Conformal and Einstein gravity renders trivial the Einstein solutions of 6D Critical Gravity at the bicritical point.https://doi.org/10.1007/JHEP01(2021)134AdS-CFT CorrespondenceClassical Theories of GravityConformal and W Symmetry |
| spellingShingle | Giorgos Anastasiou Ignacio J. Araya Rodrigo Olea Einstein gravity from Conformal Gravity in 6D Journal of High Energy Physics AdS-CFT Correspondence Classical Theories of Gravity Conformal and W Symmetry |
| title | Einstein gravity from Conformal Gravity in 6D |
| title_full | Einstein gravity from Conformal Gravity in 6D |
| title_fullStr | Einstein gravity from Conformal Gravity in 6D |
| title_full_unstemmed | Einstein gravity from Conformal Gravity in 6D |
| title_short | Einstein gravity from Conformal Gravity in 6D |
| title_sort | einstein gravity from conformal gravity in 6d |
| topic | AdS-CFT Correspondence Classical Theories of Gravity Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP01(2021)134 |
| work_keys_str_mv | AT giorgosanastasiou einsteingravityfromconformalgravityin6d AT ignaciojaraya einsteingravityfromconformalgravityin6d AT rodrigoolea einsteingravityfromconformalgravityin6d |