Conformal Renormalization of topological black holes in AdS6

Giorgos Anastasiou, Ignacio J. Araya, Cristóbal Corral, Rodrigo Olea

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

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.

Original languageEnglish
Article number36
JournalJournal of High Energy Physics
Volume2023
Issue number11
DOIs
StatePublished - Nov 2023
Externally publishedYes

Keywords

  • AdS-CFT Correspondence
  • Black Holes
  • Classical Theories of Gravity
  • Conformal and W Symmetry

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