Noether-Wald charges in six-dimensional Critical Gravity
Abstract It has been recently shown that there is a particular combination of conformal invariants in six dimensions which accepts a generic Einstein space as a solution. The Lagrangian of this Conformal Gravity theory — originally found by Lu, Pang and Pope (LPP) — can be conveniently rewritten in...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2021)156 |
| _version_ | 1819139926272245760 |
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| author | Giorgos Anastasiou Ignacio J. Araya Cristóbal Corral Rodrigo Olea |
| author_facet | Giorgos Anastasiou Ignacio J. Araya Cristóbal Corral Rodrigo Olea |
| author_sort | Giorgos Anastasiou |
| collection | DOAJ |
| description | Abstract It has been recently shown that there is a particular combination of conformal invariants in six dimensions which accepts a generic Einstein space as a solution. The Lagrangian of this Conformal Gravity theory — originally found by Lu, Pang and Pope (LPP) — can be conveniently rewritten in terms of products and covariant derivatives of the Weyl tensor. This allows one to derive the corresponding Noether prepotential and Noether-Wald charges in a compact form. Based on this expression, we calculate the Noether-Wald charges of six-dimensional Critical Gravity at the bicritical point, which is defined by the difference of the actions for Einstein-AdS gravity and the LPP Conformal Gravity. When considering Einstein manifolds, we show the vanishing of the Noether prepotential of Critical Gravity explicitly, which implies the triviality of the Noether-Wald charges. This result shows the equivalence between Einstein-AdS gravity and Conformal Gravity within its Einstein sector not only at the level of the action but also at the level of the charges. |
| first_indexed | 2024-12-22T11:30:25Z |
| format | Article |
| id | doaj.art-59e2fdcb7c86439db46f0b914cd5536b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T11:30:25Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-59e2fdcb7c86439db46f0b914cd5536b2022-12-21T18:27:38ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021711710.1007/JHEP07(2021)156Noether-Wald charges in six-dimensional Critical GravityGiorgos Anastasiou0Ignacio J. Araya1Cristóbal Corral2Rodrigo Olea3Instituto de Física, Pontificia Universidad Católica de ValparaísoInstituto de Ciencias Exactas y Naturales, Facultad de Ciencias, Universidad Arturo PratInstituto de Ciencias Exactas y Naturales, Facultad de Ciencias, Universidad Arturo PratDepartamento de Ciencias Físicas, Universidad Andres BelloAbstract It has been recently shown that there is a particular combination of conformal invariants in six dimensions which accepts a generic Einstein space as a solution. The Lagrangian of this Conformal Gravity theory — originally found by Lu, Pang and Pope (LPP) — can be conveniently rewritten in terms of products and covariant derivatives of the Weyl tensor. This allows one to derive the corresponding Noether prepotential and Noether-Wald charges in a compact form. Based on this expression, we calculate the Noether-Wald charges of six-dimensional Critical Gravity at the bicritical point, which is defined by the difference of the actions for Einstein-AdS gravity and the LPP Conformal Gravity. When considering Einstein manifolds, we show the vanishing of the Noether prepotential of Critical Gravity explicitly, which implies the triviality of the Noether-Wald charges. This result shows the equivalence between Einstein-AdS gravity and Conformal Gravity within its Einstein sector not only at the level of the action but also at the level of the charges.https://doi.org/10.1007/JHEP07(2021)156Classical Theories of GravityConformal and W SymmetryAdS-CFT Correspondence |
| spellingShingle | Giorgos Anastasiou Ignacio J. Araya Cristóbal Corral Rodrigo Olea Noether-Wald charges in six-dimensional Critical Gravity Journal of High Energy Physics Classical Theories of Gravity Conformal and W Symmetry AdS-CFT Correspondence |
| title | Noether-Wald charges in six-dimensional Critical Gravity |
| title_full | Noether-Wald charges in six-dimensional Critical Gravity |
| title_fullStr | Noether-Wald charges in six-dimensional Critical Gravity |
| title_full_unstemmed | Noether-Wald charges in six-dimensional Critical Gravity |
| title_short | Noether-Wald charges in six-dimensional Critical Gravity |
| title_sort | noether wald charges in six dimensional critical gravity |
| topic | Classical Theories of Gravity Conformal and W Symmetry AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP07(2021)156 |
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