Finite action in 5D gauged supergravity and the dilatonic conformal anomaly for dual quantum field theory

Nojiri, Shin’ichi; Odintsov, Sergei D.; Ogushi, Sachiko

doi:10.1103/physrevd.62.124002

Cited by 54 publications

(18 citation statements)

References 43 publications

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“…An earlier analysis of the Einstein-scalar field system can be found in[28], which correctly captured the leading divergent part of the on-shell action.…”

mentioning

confidence: 80%

Holographic RG flow and the quantum effective action

Kiritsis

Nitti

2014

Fortschritte der Physik

118

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The calculation of the full (renormalized) holographic action is undertaken in general Einstein-scalar theories. The appropriate formalism is developed and the renormalized effective action is calculated up to two derivatives in the metric and scalar operators. The holographic RG equations involve a generalized Ricci flow for the space-time metric as well as the standard β-function flow for scalar operators. Several examples are analyzed and the effective action is calculated. A set of conserved quantities of the holographic flow is found, whose interpretation is not yet understood.

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“…An earlier analysis of the Einstein-scalar field system can be found in[28], which correctly captured the leading divergent part of the on-shell action.…”

mentioning

confidence: 80%

Holographic RG flow and the quantum effective action

Kiritsis

Nitti

2014

Fortschritte der Physik

118

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“…The field equations were founded in [26], and including boundary terms in fourth order gravity in [27][28][29]. The Gibbons-York-Hawking like term in f (R) gravity was explored in [30], with an augmented variational principle in [31,32], and using a scalar-tensor framework in [33][34][35][36][37][38]. Here we obtain the field equations from a metric f (R) action with boundary terms, using only variational principles.…”

Section: Introductionmentioning

confidence: 99%

Boundary term in metric f (R) gravity: field equations in the metric formalism

2010

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The main goal of this paper is to get in a straightforward form the field equations in metric f (R) gravity, using elementary variational principles and adding a boundary term in the action, instead of the usual treatment in an equivalent scalar-tensor approach. We start with a brief review of the Einstein-Hilbert action, together with the Gibbons-York-Hawking boundary term, which is mentioned in some literature, but is generally missing. Next we present in detail the field equations in metric f (R) gravity, including the discussion about boundaries, and we compare with the Gibbons-York-Hawking term in General Relativity. We notice that this boundary term is necessary in order to have a well defined extremal action principle under metric variation.

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“…In three dimensions, similar work was done in[24] and for the particular case of Dirichlet boundary conditions see, e.g.,[25,26].…”

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confidence: 99%

Trace anomaly and counterterms in designer gravity

Anabalón

Astefanesei

Choque

et al. 2016

J. High Energ. Phys.

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Abstract:We construct concrete counterterms of the Balasubramanian-Kraus type for Einstein-scalar theories with designer gravity boundary conditions in AdS 4 , so that the total action is finite on-shell and satisfy a well defined variational principle. We focus on scalar fields with the conformal mass m 2 = −2l −2 and show that the holographic mass matches the Hamiltonian mass for any boundary conditions. We compute the trace anomaly of the dual field theory in the generic case, as well as when there exist logarithmic branches of non-linear origin. As expected, the anomaly vanishes for the boundary conditions that are AdS invariant. When the anomaly does not vanish, the dual stress tensor describes a thermal gas with an equation of state related to the boundary conditions of the scalar field. In the case of a vanishing anomaly, we recover the dual theory of a massless thermal gas. As an application of the formalism, we consider a general family of exact hairy black hole solutions that, for some particular values of the parameters in the moduli potential, contains solutions of four-dimensional gauged N = 8 supergravity and its ω-deformation. Using the AdS/CFT duality dictionary, they correspond to triple trace deformations of the dual field theory.

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Finite action in 5D gauged supergravity and the dilatonic conformal anomaly for dual quantum field theory

Cited by 54 publications

References 43 publications

Holographic RG flow and the quantum effective action

Holographic RG flow and the quantum effective action

Boundary term in metric f (R) gravity: field equations in the metric formalism

Trace anomaly and counterterms in designer gravity

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