Non-analyticity of holographic Rényi entropy in Lovelock gravity

Puletti, Valentina Giangreco M.; Pourhasan, R.

doi:10.1007/jhep08(2017)002

Cited by 8 publications

(12 citation statements)

References 78 publications

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“…Holographically, the calculation can only be performed if the bulk theory admits hyperbolic black-hole solutions for which we are able to compute the corresponding thermal entropy. Examples of such theories for which Rényi entropies have been computed using this procedure include: Einstein gravity, Gauss-Bonnet, QTG [25] and cubic Lovelock [132]. Analogous studies for theories in which the corresponding black holes solutions were only accesible approximately -typically at leading order in the corresponding gravitational couplings -have also been performed, e.g., in [63,133,134].…”

Section: Holographic Rényi Entropymentioning

confidence: 99%

Holographic studies of Einsteinian cubic gravity

Bueno

Cano

Ruipérez

2018

J. High Energ. Phys.

141

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Einsteinian cubic gravity provides a holographic toy model of a nonsupersymmetric CFT in three dimensions, analogous to the one defined by Quasi-topological gravity in four. The theory admits explicit non-hairy AdS 4 black holes and allows for numerous exact calculations, fully nonperturbative in the new coupling. We identify several entries of the AdS/CFT dictionary for this theory, and study its thermodynamic phase space, finding interesting new phenomena. We also analyze the dependence of Rényi entropies for disk regions on universal quantities characterizing the CFT. In addition, we show that η/s is given by a non-analytic function of the ECG coupling, and that the existence of positive-energy black holes strictly forbids violations of the KSS bound. Along the way, we introduce a new method for evaluating Euclidean on-shell actions for general higher-order gravities possessing second-order linearized equations on AdS (d+1) . Our generalized action involves the very same Gibbons-Hawking boundary term and counterterms valid for Einstein gravity, which now appear weighted by the universal charge a * controlling the entanglement entropy across a spherical region in the CFT dual to the corresponding higher-order theory.

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Section: Holographic Rényi Entropymentioning

confidence: 99%

Holographic studies of Einsteinian cubic gravity

Bueno

Cano

Ruipérez

2018

J. High Energ. Phys.

141

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“…The thermal entropy in the case of Einstein gravity is simply given by Bekenstein-Hawking formula (1.48), but this result is generalized to higher-order gravities by using Wald's formula (1.50). An interesting application in the latter case is that, since the degeneracy of central charges if broken, it is possible to study the dependence of Rényi entropies on some of these charges [230] see [79,[251][252][253] for additional examples.…”

Section: Thermodynamic Phase Spacementioning

confidence: 99%

Aspects of general higher-order gravities

et al. 2017

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We study several aspects of higher-order gravities constructed from general contractions of the Riemann tensor and the metric in arbitrary dimensions. First, we use the fast-linearization procedure presented in arXiv:1607.06463 to obtain the equations satisfied by the metric perturbation modes on a maximally symmetric background in the presence of matter and to classify $\mathcal{L}($Riemann$)$ theories according to their spectrum. Then, we linearize all theories up to quartic order in curvature and use this result to construct quartic versions of Einsteinian cubic gravity (ECG). In addition, we show that the most general cubic gravity constructed in a dimension-independent way and which does not propagate the ghost-like spin-2 mode (but can propagate the scalar) is a linear combination of $f($Lovelock$)$ invariants, plus the ECG term, plus a New ghost-free gravity term. Next, we construct the generalized Newton potential and the Post-Newtonian parameter $\gamma$ for general $\mathcal{L}($Riemann$)$ gravities in arbitrary dimensions, unveiling some interesting differences with respect to the four-dimensional case. We also study the emission and propagation of gravitational radiation from sources for these theories in four dimensions, providing a generalized formula for the power emitted. Finally, we review Wald's formalism for general $\mathcal{L}($Riemann$)$ theories and construct new explicit expressions for the relevant quantities involved. Many examples illustrate our calculations.Comment: 83 pages, 3 figures, 4 tables; v2: minor modifications to match published version, references adde

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“…By noting Z = e − F T (see (3.12)) and the thermodynamic relation (3.19), using (6.1) yields [64,75,[77][78][79]111]. In this section, we basically follow the procedure to calculate the holographic Rényi entropy for the most general massless cubic gravities in D = 5 and D = 4 respectively up to the first order of the coupling constants e i by using the approximate hyperbolic black holes obtained in section 2.…”

Section: The Holographic Rényi Entropymentioning

confidence: 99%

Holographic studies of the generic massless cubic gravities

2019

Phys. Rev. D

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We consider the generic massless cubic gravities coupled to a negative bare cosmological constant mainly in D = 5 and D = 4 dimensions, which are Einstein gravity extended with cubic curvature invariants where the linearized excited spectrum around the AdS background contains no massive modes. The generic massless cubic gravities are more general than Myers quasi-topological gravity in D = 5 and Einsteinian cubic gravity in D = 4. It turns out that the massless cubic gravities admit the black holes at least in a perturbative sense with the coupling constants of the cubic terms becoming infinitesimal.The first order approximate black hole solutions with arbitrary boundary topology k are presented, and in addition, the second order approximate planar black holes are exhibited as well. We then establish the holographic dictionary for such theories by presenting acharge, C T -charge and energy flux parameters t 2 and t 4 . By perturbatively discussing the holographic Rényi entropy, we find a, C T and t 4 can somehow determine the Rényi entropy with the limit q → 1, q → 0 and q → ∞ up to the first order, where q is the order of the Rényi entropy. For holographic hydrodynamics, we discuss the shear-viscosity-entropy-ratio and find that the patterns deviating from the KSS bound 1/(4π) can somehow be controlled by ((c − a)/c, t 4 ) up to the first order in D = 5, and ((C T −ã)/C T , t 4 ) up to the second order in D = 4, where C T andã differ from C T -charge and a-charge by inessential overall constants. †

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Non-analyticity of holographic Rényi entropy in Lovelock gravity

Cited by 8 publications

References 78 publications

Holographic studies of Einsteinian cubic gravity

Holographic studies of Einsteinian cubic gravity

Aspects of general higher-order gravities

Holographic studies of the generic massless cubic gravities

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