Universal Kounterterms in Lovelock AdS gravity

Kofinas, Georgios; Olea, Rodrigo

doi:10.1002/prop.200810565

Cited by 26 publications

(33 citation statements)

References 24 publications

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“…Not surprisingly, this is the case. Expanding the contractions of the Weyl tensor, 11) and using the fact that the Weyl tensor is traceless, we can show that…”

Section: Jhep11(2017)128mentioning

confidence: 99%

Vacuum degeneracy and Conformal Mass in Lovelock AdS gravity

Arenas-Henriquez

Mišković

Olea

2017

J. High Energ. Phys.

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It is shown that the notion of Conformal Mass can be defined within a given anti-de Sitter (AdS) branch of a Lovelock gravity theory as long as the corresponding vacuum is not degenerate. Indeed, conserved charges obtained by the addition of Kounterterms to the bulk action turn out to be proportional to the electric part of the Weyl tensor, when the fall-off of a generic solution in that AdS branch is considered. The factor of proportionality is the degeneracy condition for the vacua in the particular Lovelock AdS theory under study. This last feature explains the obstruction to define Conformal Mass in the degenerate case.

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“…Not surprisingly, this is the case. Expanding the contractions of the Weyl tensor, 11) and using the fact that the Weyl tensor is traceless, we can show that…”

Section: Jhep11(2017)128mentioning

confidence: 99%

Vacuum degeneracy and Conformal Mass in Lovelock AdS gravity

Arenas-Henriquez

Mišković

Olea

2017

J. High Energ. Phys.

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“…As shown in [78,79], the LL AdS action is regularized by the same boundary term as the one in Einstein-Hilbert or EGB gravity with negative cosmological constant in even or odd dimensions, which is known to be universal for any Lovelock gravity. The only quantity that changes is the coefficient c d , which depends on eff as one of the roots of the polynomial (7).…”

Section: Free Energy Of a Lovelock Superconductor In Canonical And Grmentioning

confidence: 95%

“…An advantage of this procedure is that the boundary term is well known for any LL gravity in any dimension because its form is universal, of a geometric origin [78,79]. Additionally, it is background independent, covariant and in Fefferman-Graham coordinates gives the results consistent with the holographic renormalization [80], in cases when the last one can be done explicitly.…”

Section: Variational Principle and Boundary Termsmentioning

confidence: 96%

Free energy of a Lovelock holographic superconductor

Aranguiz

Mišković

2014

Eur. Phys. J. C

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We study thermodynamics of black hole solutions in Lanczos-Lovelock anti-de Sitter gravity in d + 1 dimensions coupled to nonlinear electrodynamics and a Stückelberg scalar field. This class of theories is used in the context of gauge/gravity duality to describe a hightemperature superconductor in d dimensions. A larger number of coupling constants in the gravitational side is necessary to widen the domain of validity of physical quantities in dual quantum field theory (QFT). We regularize the gravitational action and find the finite conserved quantities for a planar black hole with scalar hair. Then we derive the quantum statistical relation in the Euclidean sector of the theory, and we obtain the exact formula for the free energy of the superconductor in the holographic QFT. Our result is analytic and it includes the effects of backreaction of the gravitational field. We further discuss on how this formula could be used to analyze second order phase transitions through the discontinuities of the free energy, in order to classify holographic superconductors in terms of the parameters in the theory.

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“…In even dimensions D = 2n > 4, I E has to be supplemented by the n-th Chern form B E 1 with the fixed coefficient. 13 For the matter fields, we can choose the boundary term that does not modify the black hole mass,…”

Section: Free Energymentioning

confidence: 99%

Gauss-Bonnet Holographic Superconductors

Mišković¹,

Aranguiz²

2015

The Thirteenth Marcel Grossmann Meeting

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We study a class of holographic superconductors dual to Einstein-Gauss-Bonnet AdS gravity coupled to nonlinear matter fields. We find an exact formula for the free energy of this system in any dimension and an approximate formula in terms of the thermodynamic quantities. We provide a simple method to select the couplings that admit charged black hole solutions in the bulk and have phase transitions on the boundary. Theories of interests and their dynamicsThe AdS/CFT correspondence 1 provides a unique method to describe high-T c superconductors, as there is no a generally accepted theoretical model that explains their properties. The goal of this this note is to obtain an exact expression for the free energy of a family of d-dimensional holographic superconductors in the framework of a strongly coupled QFT, seen as dual to (d + 1)-dimensional charged AdS black holes, in order to study their properties directly from the partition function.The minimal matter content in AdS gravity, that leads to a holographic superconductor on its boundary, contains an electromagnetic field and a complex scalar. 2 In order to describe different superconductors, we also need a set of parameters in the gravity action. This motivates to start from the Lovelock AdS d+1 actions 3 that polynomial in the curvature, and also to include non-linear matter couplings.We consider the simplest gravity action with a quadratic correction in the curvature given by the Gauss-Bonnet (GB) term. It is coupled to Nonlinear Electrodynamics (NED) and the Stückelberg scalar field 4 in d + 1 dimensions. The action is

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Universal Kounterterms in Lovelock AdS gravity

Cited by 26 publications

References 24 publications

Vacuum degeneracy and Conformal Mass in Lovelock AdS gravity

Vacuum degeneracy and Conformal Mass in Lovelock AdS gravity

Free energy of a Lovelock holographic superconductor

Gauss-Bonnet Holographic Superconductors

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