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84
Relativistic viscous hydrodynamics, conformal invariance, and holography
 JHEP
"... Abstract: We consider secondorder viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the secondorder corrections. By matching to the AdS/CFT calculations of correlators, and to recent results for Bj ..."
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Cited by 85 (2 self)
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Abstract: We consider secondorder viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the secondorder corrections. By matching to the AdS/CFT calculations of correlators, and to recent results for Bjorken flow obtained by Heller and Janik, we find three (out of five) secondorder transport coefficients in the strongly coupled N = 4 supersymmetric YangMills theory. We also discuss how these new coefficents can arise within the kinetic theory of weakly coupled conformal plasmas. We point out that the MüllerIsraelStewart theory, often used in numerical simulations, does not contain all allowed secondorder terms and, frequently, terms required by conformal invariance. Contents
Holographic Superconductors with Various Condensates
 Phys. Rev
"... We extend earlier treatments of holographic superconductors by studying cases where operators of different dimension condense in both 2 + 1 and 3 + 1 superconductors. We also compute a correlation length. We find surprising regularities in quantities such as ωg/Tc where ωg is the gap in the frequenc ..."
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Cited by 64 (3 self)
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We extend earlier treatments of holographic superconductors by studying cases where operators of different dimension condense in both 2 + 1 and 3 + 1 superconductors. We also compute a correlation length. We find surprising regularities in quantities such as ωg/Tc where ωg is the gap in the frequency dependent conductivity. In special cases, new bound states arise corresponding It has recently been shown that a simple EinsteinMaxwell theory coupled to a charged scalar provides a holographically dual description of a superconductor [1, 2]. The gravity theory depends on two parameters, the mass m and charge q of the complex scalar field. If q is large, the backreaction of the matter fields on the metric
Wilsonian Approach to Fluid/Gravity Duality
 JHEP 1103 (2011) 141 [arXiv:1006.1902 [hepth
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String Theory and Quantum Chromodynamics
"... I review recent progress on the connection between string theory and quantum chromodynamics in the context of the gauge/gravity duality. Emphasis is placed on conciseness and conceptual aspects rather than on technical details. Topics covered include the largeN c limit of gauge theories, the gravit ..."
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Cited by 35 (1 self)
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I review recent progress on the connection between string theory and quantum chromodynamics in the context of the gauge/gravity duality. Emphasis is placed on conciseness and conceptual aspects rather than on technical details. Topics covered include the largeN c limit of gauge theories, the gravitational description of gauge theory thermodynamics and hydrodynamics, and confinement/deconfinement thermal phase transitions. 1 Lectures given at the RTN Winter School on “Strings, Supergravity and Gauge Theories ” at CERN
Hydrodynamics of Rcharged black holes
, 2006
"... We consider hydrodynamics of N = 4 supersymmetric SU(Nc) YangMills plasma at a nonzero density of Rcharge. In the regime of large Nc and large ’t Hooft coupling the gravity dual description involves an asymptotically Anti de Sitter fivedimensional charged black hole solution of Behrnd, Cvetič an ..."
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Cited by 26 (1 self)
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We consider hydrodynamics of N = 4 supersymmetric SU(Nc) YangMills plasma at a nonzero density of Rcharge. In the regime of large Nc and large ’t Hooft coupling the gravity dual description involves an asymptotically Anti de Sitter fivedimensional charged black hole solution of Behrnd, Cvetič and Sabra. We compute the shear viscosity as a function of chemical potentials conjugated to the three U(1) ⊂ SO(6)R charges. The ratio of the shear viscosity to entropy density is independent of the chemical potentials and is equal to 1/4π. For a single charge black hole we also compute the thermal conductivity, and investigate the critical behavior of the transport coefficients near the boundary of thermodynamic stability.
Towards the description of anisotropic plasma at strong coupling
 JHEP 0809
, 2008
"... We initiate a study of anisotropic plasma at strong coupling using the AdS/CFT correspondence. We construct an exact dual geometry which represents a static uniform but anisotropic system and find, that although it is singular, it allows for a notion of ‘incoming ’ boundary conditions. We study smal ..."
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Cited by 25 (2 self)
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We initiate a study of anisotropic plasma at strong coupling using the AdS/CFT correspondence. We construct an exact dual geometry which represents a static uniform but anisotropic system and find, that although it is singular, it allows for a notion of ‘incoming ’ boundary conditions. We study small fluctuations around this background and find that the dispersion relation depends crucially on the direction of the wavevector relative to the shape of the anisotropy reminiscent of similar behaviour at weak coupling. We do not find explicit instabilities to the considered order but only a huge difference in the damping behaviour. 1
Higher Derivative Corrections to Shear Viscosity from Graviton’s Effective Coupling
, 2009
"... The shear viscosity coefficient of strongly coupled boundary gauge theory plasma depends on the horizon value of the effective coupling of transverse graviton moving in black hole background. The proof for the above statement is based on the canonical form of graviton’s action. But in presence of ..."
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Cited by 21 (0 self)
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The shear viscosity coefficient of strongly coupled boundary gauge theory plasma depends on the horizon value of the effective coupling of transverse graviton moving in black hole background. The proof for the above statement is based on the canonical form of graviton’s action. But in presence of generic higher derivative terms in the bulk Lagrangian the action is no longer canonical. We give a procedure to find an effective action for graviton (to first order in coefficient of higher derivative term) in canonical form in presence of any arbitrary higher derivative terms in the bulk. From that effective action we find the effective coupling constant for transverse graviton which in general depends on the radial coordinate r. We also argue that horizon value of this effective coupling is related to the shear viscosity coefficient of the boundary fluid in higher derivative gravity. We explicitly check this procedure for two specific examples: (1) four derivative action and (2) eight derivative action (Weyl 4 term). For both cases we show that our results for shear viscosity coefficient (upto first order in coefficient of higher derivative term) completely agree with the existing results