Holographic studies of Einsteinian cubic gravity

Abstract

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 $\eta /s$ 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 $a^{\ast }$ controlling the entanglement entropy across a spherical region in the CFT dual to the corresponding higher-order theory.

59 pages, 7 figures, 1 table; v4: typos fixed

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Cited by in corpus (54)

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• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• Universality of squashed-sphere partition functions
• Generalized quasi-topological gravities: the whole shebang
• Slowly rotating black holes in Einsteinian cubic gravity
• NUTs and bolts beyond Lovelock
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• Surface term, corner term, and action growth in F(Riemann) gravity theory
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• Partition functions on slightly squashed spheres and flux parameters
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• Holographic Studies of The Generic Massless Cubic Gravities
• A universal feature of charged entanglement entropy
• Analytically Approximation Solution to Einstein-Cubic Gravity
• Topological Born-Infeld charged black holes in Einsteinian cubic gravity
• Holographic entanglement entropy for perturbative higher-curvature gravities
• Dynamical aspects for scalar fields coupled to cubic contractions of the Riemann tensor
• Renormalized holographic entanglement entropy in Lovelock gravity
• Slowly rotating and the accelerating ${\alpha }^{\prime }$-corrected black holes in four and higher dimensions
• Holographic superconductivity in Einsteinian Cubic Gravity
• Renormalized holographic entanglement entropy for Quadratic Curvature Gravity
• The extremal Kerr entropy in higher-derivative gravities
• Dark effects in $f(R,P)$ gravity
• Holographic explorations of regular black holes in pure gravity
• Conformal bounds in three dimensions from entanglement entropy
• Aspects of N-partite information in conformal field theories
• Slowly rotating black holes in Quasi-topological gravity
• Stringy Effects and the Role of the Singularity in Holographic Complexity
• Charged rotating black strings in Einsteinian cubic gravity
• A Holographic Study of the $a$-theorem and RG Flow in General Quadratic Curvature Gravity
• CFT correlators from shape deformations in Cubic Curvature Gravity
• Hidden Relations of Central Charges and OPEs in Holographic CFT
• Universal renormalization procedure for higher curvature gravities in D$\le$5
• Quasi-topological Gravities on General Spherically Symmetric Metric
• A Surprising Similarity Between Holographic CFTs and a Free Fermion in $(2+1)$ Dimensions
• The fate of boundary terms in dimensional reductions
• An ostentatious model of cosmological scalar-tensor theory
• Conformal scalar NUT-like dyons in conformal electrodynamics
• Aspects of three-dimensional higher-curvature gravities
• Dyonic Taub-NUT-AdS Black Branes: Thermodynamics and Phase Diagrams
• Entanglement entropy in cubic gravitational theories