Holographic GB gravity in arbitrary dimensions

Buchel, Alex; Escobedo, Jorge; Myers, Robert C.; Paulos, Miguel F.; Sinha, Aninda; Smolkin, Michael

doi:10.1007/jhep03(2010)111

Cited by 304 publications

(552 citation statements)

References 78 publications

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“…Note that this agreement also checks the consistency of the effective action of [21]. The bounds on the collier parameters t 2 and t 4 are known [15]. This constrains the Gauss bonnet coupling to lie between the following bounds…”

Section: Jhep12(2017)156supporting

confidence: 65%

“…For example, the leading order corrections in 1 λ to N = 4 SYM correspond to stringy corrrections of the type IIB supergravity on AdS 5 × S 5 , usually of the form α ′3 R 4 . There has been a systematic study of effects of such higher derivative corrections to the ratio of shear viscosity η to the entropy density s [13][14][15][16]. We look at corrections to the EinsteinHilbert action in an AdS background that terminate at fourth order in derivative expansion…”

Section: Jhep12(2017)156mentioning

confidence: 99%

“…In order to compare this against the shear sum rule computed from field theory, we compute the parameters t 2 and t 4 for possible dual field theories at large N c but finite 't Hooft coupling λ c . Instead of directly computing the three point function of stress tensor from gravity, we compute the same from the conformal collider physics formalism of [15,[17][18][19].…”

Section: Jhep12(2017)156mentioning

confidence: 99%

“…For r + = 0, we recover the AdS vacuum metric in Poincaré coordinates with a modified AdS curvature squared scaleL 2 = L 2 f∞ [15]. The thermodynamics associated with the black brane background (3.2) is given by [21],…”

Section: Jhep12(2017)156mentioning

confidence: 99%

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Shear sum rule in higher derivative gravity theories

Chowdhury

2017

J. High Energ. Phys.

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We study holographic shear sum rules in Einstein gravity with curvature squared corrections. Sum rules relate weighted integral over spectral densities of retarded correlators in the shear channel to the one point functions of the CFTs. The proportionality constant can be written in terms of the data of three point functions of the stress tensors of the CFT (t 2 and t 4 ). For CFTs dual to two derivative Einstein gravity, this proportionality constant is just d 2(d+1) . This has been verified by a direct holographic computation of the retarded correlator for Einstein gravity in AdS d+1 black hole background. We compute corrections to the holographic shear sum rule in presence of higher derivative corrections to the Einstein-Hilbert action. We find agreement between the sum rule obtained from a general CFT analysis and holographic computation for Gauss Bonnet theories in AdS 5 black hole background. We then generalize the sum rule for arbitrary curvature squared corrections to Einstein-Hilbert action in d ≥ 4. Evaluating the parameters t 2 and t 4 for the possible dual CFT in presence of such curvature corrections, we find an agreement with the general field theory derivation to leading order in coupling constants of the higher derivative terms.

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Section: Jhep12(2017)156supporting

confidence: 65%

Section: Jhep12(2017)156mentioning

confidence: 99%

Section: Jhep12(2017)156mentioning

confidence: 99%

Section: Jhep12(2017)156mentioning

confidence: 99%

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Shear sum rule in higher derivative gravity theories

Chowdhury

2017

J. High Energ. Phys.

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“…This means that complete null integrals of the three-point functions T hh † are non-negative. From these bounds one deduces inequalities on OPE coefficients [20][21][22][23][24][25]. As we describe below, in general they also imply bounds on the scaling dimension of h.…”

Section: Jhep02(2018)131mentioning

confidence: 93%

Universal bounds on operator dimensions from the average null energy condition

Córdova

Diab

2018

J. High Energ. Phys.

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We show that the average null energy condition implies novel lower bounds on the scaling dimensions of highly-chiral primary operators in four-dimensional conformal field theories. Denoting the spin of an operator by a pair of integers (k,k) specifying the transformations under chiral su(2) rotations, we explicitly demonstrate these new bounds for operators transforming in (k, 0) and (k, 1) representations for sufficiently large k. Based on these calculations, along with intuition from free field theory, we conjecture that in any unitary conformal field theory, primary local operators of spin (k,k) and scaling dimension ∆ satisfy ∆ ≥ max{k,k}. If |k −k| > 4, this is stronger than the unitarity bound.

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Universal entanglement of singular surfaces

Bueno

Myers

Witczak-Krempa

2015

Fortschritte der Physik

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In general three-dimensional conformal field theories (CFTs), the entanglement entropy receives a logarithmic contribution whenever the entangling surface contains a sharp corner of opening angle θ . Such contribution is controlled by a regulatorindependent function a(θ ) which vanishes as a(θ ) = σ (θ − π) 2 in the smooth-surface limit (θ → π). We review our recent conjecture that for general three-dimensional CFTs, this corner coefficient σ is determined by C T , the coefficient appearing in the two-point function of the stress tensor through the relation σ/C T = π 2 /24. We also comment on the extension of this conjecture to general Rényi entropies and higherdimensional CFTs.

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Holographic GB gravity in arbitrary dimensions

Cited by 304 publications

References 78 publications

Shear sum rule in higher derivative gravity theories

Shear sum rule in higher derivative gravity theories

Universal bounds on operator dimensions from the average null energy condition

Universal entanglement of singular surfaces

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