Renormalized AdS action and Critical Gravity

Mišković, Olivera; Tsoukalas, Minas; Olea, Rodrigo

doi:10.1007/jhep08(2014)108

Cited by 32 publications

(35 citation statements)

References 39 publications

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“…It is important to observe that, as in [33,35,40], the full supergravity Lagrangian can be rewritteǹ a la MacDowell-Mansouri. This would suggest, as it was pointed out in the bosonic case [92,93], a superconformal structure which is an interesting additional motivation to our study. On the other hand, our particular approach in which we consider additional gauge fields in the boundary could be useful in order to explore the supersymmetry invariance of supergravities with boundary coupled to matter or in higher dimensions.…”

Section: Discussionsupporting

confidence: 56%

On the supersymmetry invariance of flat supergravity with boundary

Concha

Ravera

Rodríguez

2019

J. High Energ. Phys.

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The supersymmetry invariance of flat supergravity (i.e., supergravity in the absence of any internal scale in the Lagrangian) in four dimensions on a manifold with non-trivial boundary is explored. Using a geometric approach we find that the supersymmetry invariance of the Lagrangian requires to add appropriate boundary terms. This is achieved by considering additional gauge fields to the boundary without modifying the bulk Lagrangian. We also construct an enlarged supergravity model from which, in the vanishing cosmological constant limit, flat supergravity with a non-trivial boundary emerges properly.

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Section: Discussionsupporting

confidence: 56%

On the supersymmetry invariance of flat supergravity with boundary

Concha

Ravera

Rodríguez

2019

J. High Energ. Phys.

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“…Furthermore, the connection to Holographic Renormalization [11] in the context of AdS/CFT correspondence was shown in Refs. [12,13], as the asymptotic expansion of the extrinsic curvature reproduces the standard counterterm series [14,15].…”

Section: D Ads Gravity and Pontryagin Invariantmentioning

confidence: 77%

Magnetic mass in 4D AdS gravity

et al. 2016

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We provide a fully-covariant expression for the diffeomorphic charge in 4D antide Sitter gravity, when the Gauss-Bonnet and Pontryagin terms are added to the action. The couplings of these topological invariants are such that the Weyl tensor and its dual appear in the on-shell variation of the action, and such that the action is stationary for asymptotic (anti) self-dual solutions in the Weyl tensor. In analogy with Euclidean electromagnetism, whenever the self-duality condition is global, both the action and the total charge are identically vanishing. Therefore, for such configurations the magnetic mass equals the Ashtekhar-Magnon-Das definition.

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“…Another very attractive feature of the method is its deep connection with geometrical structures: topological invariants in the case of even D [76,78] (in which case the method is alternatively known as topological renormalization), and transgression forms in the case of odd D [79]. Also of interest is the fact that the Kounterterms lead to a renormalized action that makes direct contact with the definition of renormalized volume for AAdS previously studied in the mathematical literature [82], and is intriguingly linked on-shell with critical gravity [83,84] and conformal gravity [85,86].…”

Section: Introductionmentioning

confidence: 99%

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

Anastasiou

Araya

Güijosa

et al. 2019

J. High Energ. Phys.

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We derive a general formula for renormalized entanglement entropy in evendimensional CFTs holographically dual to Einstein gravity in one dimension higher. In order to renormalize, we adapt the Kounterterm method to asymptotically locally AdS manifolds with conical singularities. On the gravity side, the computation considers extrinsic counterterms and the use of the replica trickà la Lewkowycz-Maldacena. The boundary counterterm B d is shown to satisfy a key property, in direct analogy to the Euler density: when evaluated on a conically singular manifold, it decomposes into a regular part plus a codimension-2 version of itself located at the conical singularity. The renormalized entropy thus obtained is shown to correspond to the universal part of the holographic entanglement entropy, which for spherical entangling surfaces is proportional to the central charge a that is the subject of the a-theorem. We also review and elucidate various aspects of the Kounterterm approach, including in particular its full compatibility with the Dirichlet condition for the metric at the conformal boundary, that is of standard use in holography.

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Renormalized AdS action and Critical Gravity

Cited by 32 publications

References 39 publications

On the supersymmetry invariance of flat supergravity with boundary

On the supersymmetry invariance of flat supergravity with boundary

Magnetic mass in 4D AdS gravity

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

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