Holographic GB gravity in arbitrary dimensions

By Alex Buchel, J. Escobedo, R. Myers, M. Paulos, Aninda Sinha, M. Smolkin. 2009

376 citations recorded by the source corpus.

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general D(≥ 5) dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings arising in correlators of the stress tensor of the dual CFT. This allows us to examine constraints on the gravitational couplings by demanding consistency of the CFT. In particular, one can demand positive energy fluxes in scattering processes or the causal propagation of fluctuations. We also examine the holographic hydrodynamics, commenting on the shear viscosity as well as the relaxation time. The latter allows us to consider causality constraints arising from the second-order truncated theory of hydrodynamics.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/64bddb72a328e2f6c271fd956c7e0cbd3a1ecd58

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Citations in the corpus

Causality in AdS/CFT and Lovelock theory (2009, background): “This was later extended to arbitrary higher dimensions in [10] (see also [11]).”
On graviton non-gaussianities during inflation (2011, background): “The parity conserving bounds were considered in [38].”
A Holographic View on Physics out of Equilibrium (2010, background): “Recently, this bound has been shown to be violated in higher-derivative theories of gravity: there are example toy-models such as Gauss-Bonnet gravity [74, 75] and other higherderivative theories [76, 77, 78, 79, 80, 81] and also some string theory inspired constructions”
Wilsonian approach to fluid/gravity duality (2010, background): “A quarter century later, ηs = 1 4π reappeared in a beautiful paper by Policastro, Starinets and Son (PSS)[11], see also [12-28] and the review [29].”
Quantum extremal islands made easy. Part II. Black holes on the brane (2020, background): “Further, we note that both contributions on the rst line of eq. (5.18) contain a prefactor proportional to Ld 1=G bulk ˘c T, which measures the number of degrees of freedom in the boundary CFT, e.g., [86]. We can see that these results correspond approximately to the expected entropy from the brane ”
Comments on holographic complexity (2016, neutral): “, see [17, 32, 33, 34].”
Holographic studies of quasi-topological gravity (2010, methodology): “The same analysis has also been extended to GB gravity in higher dimensions [17].”
Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “, see [83].”
The Shear Viscosity to Entropy Ratio: A Status Report (2011, neutral): “Constraints arising from the second-order truncated theory of hydrodynamics were analyzed in [76].”
From correlation functions to event shapes (2013, background): “For example, in the case of one-point correlation, the positivity condition 〈E(n)〉 ≥ 0 is known to be related to the violation of causality for perturbations propagating on top of nontrivial gravitational backgrounds [72,18,73,74].”
Gravitation from entanglement in holographic CFTs (2013, background): “see [31]) which provides a measure of the number of degrees of freedom in the CFT.”
Black holes in quasi-topological gravity (2010, background): “More recently, there has been some renewed interest in asymptotically AdS black hole solutions in GB gravity [18, 19], especially in the context of the AdS/CFT correspondence [5, 6, 7].”
A proof of the conformal collider bounds (2016, methodology): “3 〈TTT 〉 In this section we will review the connection between the parametrization of 〈TTT 〉 in terms of the variables ĉ, ê, and CT as defined in [42], the t2, t4, CT parametrization used in studies of the energy one point function [6], and the free field theory results.”
Holographic entanglement entropy in Lovelock gravities (2011, positive): “(Work which uses higher derivative gravitational theories to study unitarity constraints in CFTs includes [12-25].”