Conformal Renormalization of topological black holes in AdS6
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Fecha
2023-11
Profesor/a Guía
Facultad/escuela
Idioma
en
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Editor
Springer Science and Business Media Deutschland GmbH
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Licencia CC
CC BY 4.0 ATTRIBUTION 4.0 INTERNATIONAL
Licencia CC
https://creativecommons.org/licenses/by/4.0/
Resumen
We present a streamlined proof that any Einstein-AdS space is a solution of the Lu, Pang and Pope conformal gravity theory in six dimensions. The reduction of conformal gravity into Einstein theory manifestly shows that the action of the latter can be written as the Einstein-Hilbert term plus the Euler topological density and an additional contribution that depends on the Laplacian of the bulk Weyl tensor squared. The prescription for obtaining this form of the action by embedding the Einstein theory into a Weyl-invariant purely metric theory, was dubbed Conformal Renormalization and its resulting action was shown to be equivalent to the one obtained by holographic renormalization. As a non-trivial application of the method, we compute the Noether-Wald charges and thermodynamic quantities for topological black hole solutions with generic transverse section in Einstein-AdS6 theory.
Notas
Indexación: Scopus.
Palabras clave
AdS-CFT Correspondence, Black Holes, Classical Theories of Gravity, Conformal and W Symmetry
Citación
Journal of High Energy Physics Open Access Volume 2023, Issue 11 November 2023 Article number 36
DOI
10.1007/JHEP11(2023)036