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Renormalized AdS action and Critical Gravity

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arxiv 1404.5993 v2 pith:HQQUYYDL submitted 2014-04-23 hep-th gr-qc

Olivera Miskovic , Rodrigo Olea , Minas Tsoukalas This is my paper · ORCID
classification hep-thgr-qc
keywords gravityactioncriticalrenormalizedtermweylappearscoincides
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abstract

It is shown that the renormalized action for AdS gravity in even spacetime dimensions is equivalent -on shell- to a polynomial of the Weyl tensor, whose first non-vanishing term is proportional to $Weyl^2$. Remarkably enough, the coupling of this last term coincides with the one that appears in Critical Gravity.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Conformal Renormalisation of 8D Einstein Gravity

    hep-th 2026-07 accept novelty 7.0 of 10

    Holographic renormalisation of 8D Einstein-AdS gravity is recovered as the Einstein sector of the unique conformal gravity admitting constant-negative-curvature Einstein solutions, with matching counterterms.

  2. Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs

    hep-th 2019-08 conditional novelty 6.0 of 10

    Kounterterm renormalization is extended to even-dimensional holographic CFTs, yielding a universal entanglement entropy formula whose logarithmic coefficient reproduces the type A central charge.

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