Wilsonian approach to fluid/gravity duality

Bredberg, Irene; Keeler, Cynthia; Lysov, Vyacheslav; Strominger, Andrew

doi:10.1007/jhep03(2011)141

Cited by 162 publications

(312 citation statements)

References 71 publications

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“…[28]. Here the effective gravitational dynamics of the D3-brane subject to Dirichlet boundary conditions at an appropriate cutoff surface was considered along the lines of ideas introduced in the paper(s) [29,30]. It was directly shown that the fluid/gravity correspondence and the hydrodynamic effective theory are obtained as the two (most interesting) extremes where the cutoff surface is taken to be located in the near-horizon throat region and at spatial infinity, respectively.…”

Section: Jhep04(2015)171mentioning

confidence: 99%

Probing the hydrodynamic limit of (super)gravity

Dato

Gath

Pedersen

2015

J. High Energ. Phys.

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Abstract:We study the long-wavelength effective description of two general classes of charged dilatonic (asymptotically flat) black p-branes including D/NS/M-branes in ten and eleven dimensional supergravity. In particular, we consider gravitational brane solutions in a hydrodynamic derivative expansion (to first order) for arbitrary dilaton coupling and for general brane and co-dimension and determine their effective electro-fluid-dynamic descriptions by exacting the characterizing transport coefficients. We also investigate the stability properties of the corresponding hydrodynamic systems by analyzing their response to small long-wavelength perturbations. For branes carrying unsmeared charge, we find that in a certain regime of parameter space there exists a branch of stable charged configurations. This is in accordance with the expectation that D/NS/M-branes have stable configurations, except for the D5, D6, and NS5. In contrast, we find that Maxwell charged brane configurations are Gregory-Laflamme unstable independently of the charge and, in particular, verify that smeared configurations of D0-branes are unstable. Finally, we provide a modification to the mapping presented in arXiv:1211.2815 and utilize it to provide a non-trivial cross-check on a certain subset of our transport coefficients with the results of arXiv:1110.2320.

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Section: Jhep04(2015)171mentioning

confidence: 99%

Probing the hydrodynamic limit of (super)gravity

Dato

Gath

Pedersen

2015

J. High Energ. Phys.

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“…In particular, recent progress on the Wilsonian approach to Fluid/Gravity duality has opened a new window to link the Einstein equation to the Navier-Stokes equation for a general class of spacetime geometries [11][12][13]. In this setup the gravitational fluctuations are confined inside the region between the horizon and a finite cutoff at radius r = r c , and a dual holographic fluid lives on the cutoff surface.…”

Section: Introductionmentioning

confidence: 99%

Fluid/gravity duality with Petrov-like boundary condition in a spacetime with a cosmological constant

et al. 2012

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Recently it has been shown that imposing Petrov-like condition on the boundary may reduce the Einstein equation to the Navier-Stokes equation in the non-relativistic and near-horizon limit.In this paper we extend this framework to a spacetime with a cosmological constant. By explicit construction we show that the Navier-Stokes equation can be derived from both black brane background and spatially curved spacetime. We also conjecture that imposing Petrov-like condition on the boundary should be equivalent to the conventional method using the hydrodynamical expansion of the metric in the near horizon limit.

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“…We can now insert this into the PE (19) and integrate by parts. We assume that this can be done smoothly.…”

Section: The Wilsonian Rgmentioning

confidence: 99%

“…It was also suggested [10][11][12][13][14] that the holographic RG could be explicitly related to Polchinski's "exact" formulation of the Wilsonian RG [15]. Very recently, these ideas echoed through a series of works commenting on relations between different aspects of holographic and Wilsonian RGs [16][17][18][19]. Nevertheless, we still lack a precise statement on how to reach the bulk dual of a QFT by computing its Wilsonian RG flow.…”

Section: Introductionmentioning

confidence: 99%

Connecting the holographic and Wilsonian renormalization groups

Radičević

2011

J. High Energ. Phys.

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Inspired by the AdS/CFT duality, we develop an explicit formal correspondence between the planar limit of a d-dimensional global gauge theory and a classical field theory in a (d + 1)-dimensional anti-de Sitter space. The key ingredient is the identification of scalar fields in the AdS with generalized Hubbard-Stratonovich transforms of single-trace couplings of the QFT. Guided by this idea, we show that the Wilsonian renormalization group flow of these transformed couplings can match the holographic (Hamilton-Jacobi) flow of bulk fields along the radial direction in AdS. This result leads to an outline of an AdS/CFT dictionary that does not rely on string theory.

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Wilsonian approach to fluid/gravity duality

Cited by 162 publications

References 71 publications

Probing the hydrodynamic limit of (super)gravity

Probing the hydrodynamic limit of (super)gravity

Fluid/gravity duality with Petrov-like boundary condition in a spacetime with a cosmological constant

Connecting the holographic and Wilsonian renormalization groups

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