Counterterms, Kounterterms, and the variational problem in AdS gravity

Anastasiou, Giorgos; Miskovic, Olivera; Olea, Rodrigo; Papadimitriou, Ioannis

doi:10.48550/arxiv.2003.06425

Cited by 5 publications

(9 citation statements)

References 35 publications

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“…The Lagrangian density associated to the action (2. 19) is rewritten employing the GCM relations and bulkanization of Myers term to obtain [22] L…”

Section: Lovelock Gravitymentioning

confidence: 99%

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Thin shell dynamics in Lovelock gravity

Guilleminot¹,

Merino²,

Olea³

2022

Preprint

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We study matching conditions for a spherically symmetric thin shell in Lovelock gravity which can be read off from the variation of the corresponding firstorder action. In point of fact, the addition of Myers boundary terms to the gravitational action eliminates the dependence on the acceleration in this functional and such that the canonical momentum appears in the surface term in the variation of the total action. This procedure leads to junction conditions given by the discontinuity of the canonical momentum defined for an evolution normal to the boundary. In particular, we correct existing results in the literature for the thin shell collapse in generic Lovelock theories, which were mistakenly drawn from an inaccurate analysis of the total derivative terms in the system.

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“…The Lagrangian density associated to the action (2. 19) is rewritten employing the GCM relations and bulkanization of Myers term to obtain [22] L…”

Section: Lovelock Gravitymentioning

confidence: 99%

“…Only the proper use of asymptotic conditions in anti-de Sitter gravity leads to a consistent Dirichlet problem in 4D, but for the holographic metric at the conformal boundary instead[19].…”

mentioning

confidence: 99%

Thin shell dynamics in Lovelock gravity

Guilleminot¹,

Merino²,

Olea³

2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…The corresponding coupling is fixed by demanding the vanishing of the AdS curvature on the boundary. In [14,15] it was shown that adding this topological term in four dimensions is equivalent to the holographic renormalization program. 12 Since the method is deeply rooted in first order formulation, clearly it is particularly suitable for embedding holographic renormalization in supergravity and specially within the geometrical approach in superspace.…”

Section: Holographic Gauge Fixing In First Order Formalismmentioning

confidence: 99%

“…Note that, in the above derivation, we have neglected the curvature-contraction terms occurring in the general expression of the symmetry variations of the fields (3.15), 15 which one can check to give vanishing contributions at the boundary.…”

Section: The Ward Identitiesmentioning

confidence: 99%

“…It was proven to give the same results as the standard procedure in pure gravity, having however the quality of giving a topological meaning to the resummation of the holographic counterterms series expansion. A detailed comparison of both counterterm series has been developed in pure AdS gravity in any dimension in [15]. In particular, the topological counterterm needed to regularize four-dimensional gravity turns out to be the Gauss-Bonnet term and it is also able to restore the diffeomorphisms invariance, broken by the presence of the boundary [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

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$\mathcal N=2$ AdS$_4$ supergravity, holography and Ward identities

Andrianopoli,

Cerchiai,

Matrecano

et al. 2020

Preprint

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We develop in detail the holographic framework for an N = 2 pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in the first order formalism, where the full superconformal structure can be kept manifest in principle, even if only a part of it is realized as a symmetry on the boundary, while the remainder has a non-linear realization. Our study generalizes the results presented in antecedent literature and includes a general discussion of the gauge-fixing conditions on the bulk fields which yield the asymptotic symmetries at the boundary. We construct the corresponding superconformal currents and show that they satisfy the related Ward identities when the bulk equations of motion are imposed. Consistency of the holographic setup requires the super-AdS curvatures to vanish at the boundary. This determines, in particular, the expression of the super-Schouten tensor of the boundary theory, which generalizes the purely bosonic Schouten tensor of standard gravity by including gravitini bilinears. The same applies to the superpartner of the super-Schouten tensor, the conformino. Furthermore, the vanishing of the supertorsion poses general constraints on the sources of the three-dimensional boundary conformal field theory and requires that the super-Schouten tensor is endowed with an antisymmetric part proportional to a gravitino-squared term.

show abstract

Thin shell dynamics in Lovelock gravity

2022

View full text Add to dashboard Cite

We study matching conditions for a spherically symmetric thin shell in Lovelock gravity which can be read off from the variation of the corresponding first-order action. In point of fact, the addition of Myers’ boundary terms to the gravitational action eliminates the dependence on the acceleration in this functional and such that the canonical momentum appears in the surface term in the variation of the total action. This procedure leads to junction conditions given by the discontinuity of the canonical momentum defined for an evolution normal to the boundary.In particular, we correct existing results in the literature for the thin shell collapse in generic Lovelock theories, which were mistakenly drawn from an inaccurate analysis of the total derivative terms in the system.

show abstract

Counterterms, Kounterterms, and the variational problem in AdS gravity

Cited by 5 publications

References 35 publications

Thin shell dynamics in Lovelock gravity

Thin shell dynamics in Lovelock gravity

$\mathcal N=2$ AdS$_4$ supergravity, holography and Ward identities

Thin shell dynamics in Lovelock gravity

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