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170
Holographic duality with a view toward manybody physics
, 2009
"... These are notes based on a series of lectures given at the KITP workshop Quantum Criticality and the AdS/CFT Correspondence in July, 2009. The goal of the lectures was to introduce condensed matter physicists to the AdS/CFT correspondence. Discussion of string theory and of supersymmetry is avoided ..."
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Cited by 150 (2 self)
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These are notes based on a series of lectures given at the KITP workshop Quantum Criticality and the AdS/CFT Correspondence in July, 2009. The goal of the lectures was to introduce condensed matter physicists to the AdS/CFT correspondence. Discussion of string theory and of supersymmetry is avoided to the extent possible.
Gravity duals for nonrelativistic CFTs
 101 (2008) 061601 [arXiv:0804.4053] [INSPIRE
"... We attempt to generalize the AdS/CFT correspondence to nonrelativistic conformal field theories which are invariant under a Galilean conformal group. Such systems govern ultracold atoms at unitarity, nucleon scattering in some channels, and more generally, a family of universality classes of quantu ..."
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Cited by 120 (2 self)
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We attempt to generalize the AdS/CFT correspondence to nonrelativistic conformal field theories which are invariant under a Galilean conformal group. Such systems govern ultracold atoms at unitarity, nucleon scattering in some channels, and more generally, a family of universality classes of quantum critical behavior. We construct a family of metrics which realize these symmetries as isometries. They are solutions of gravity with negative cosmological constant coupled to pressureless dust. We discuss realizations of the dust. We develop the holographic dictionary and compute some twopoint correlators. A strange aspect of the correspondence is that the bulk geometry has two extra noncompact dimensions. April
Fluid dynamics of Rcharged black holes
"... We construct electrically charged AdS5 black hole solutions whose charge, mass and boostparameters vary slowly with the spacetime coordinates. From the perspective of the dual theory, these are equivalent to hydrodynamic configurations with varying chemical potential, temperature and velocity fiel ..."
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Cited by 75 (3 self)
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We construct electrically charged AdS5 black hole solutions whose charge, mass and boostparameters vary slowly with the spacetime coordinates. From the perspective of the dual theory, these are equivalent to hydrodynamic configurations with varying chemical potential, temperature and velocity fields. We compute the boundary theory transport coefficients associated with a derivative expansion of the energy momentum tensor and Rcharge current up to second order. In particular, we find a first order transport coefficient
Energy Loss of Heavy Quarks from Asymptotically AdS Geometries
, 2006
"... We investigate some universal features of AdS/CFT models of heavy quark energy loss. In addition, as a specific example, we examine quark damping in the spinning D3brane solution dual to N = 4 SU(N) super YangMills at finite temperature and Rcharge chemical potential. ..."
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Cited by 75 (1 self)
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We investigate some universal features of AdS/CFT models of heavy quark energy loss. In addition, as a specific example, we examine quark damping in the spinning D3brane solution dual to N = 4 SU(N) super YangMills at finite temperature and Rcharge chemical potential.
Gravity & Hydrodynamics: Lectures on the fluidgravity correspondence
, 2009
"... We discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluidgravity correspondence which provides a map between a class of inhomogeneous, dynamical, black hole solutions in ..."
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Cited by 73 (1 self)
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We discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluidgravity correspondence which provides a map between a class of inhomogeneous, dynamical, black hole solutions in asymptotically AdS spacetimes and arbitrary fluid flows in the strongly interacting boundary field theory. We explain how the geometric duals to the fluid dynamics are constructed in a boundary derivative expansion and use the construction to extract the hydrodynamic transport coefficients. In addition we also describe the recent developments extending the correspondence to incorporate matter fields and to nonrelativistic systems. Based on
Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
 JHEP
"... Abstract: We use the realtime finitetemperature AdS/CFT correspondence to compute the effect of general R 2 corrections to the gravitational action in AdS space on the shear viscosity of the dual gauge theory. The R 2 terms in AdS5 are determined by the central charges of the CFT. It seems that th ..."
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Cited by 44 (0 self)
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Abstract: We use the realtime finitetemperature AdS/CFT correspondence to compute the effect of general R 2 corrections to the gravitational action in AdS space on the shear viscosity of the dual gauge theory. The R 2 terms in AdS5 are determined by the central charges of the CFT. It seems that the conjectured lower bound of 1/4π on the viscositytoentropy ratio can be violated. Contents
Thermodynamics of the QCD plasma and the largeN limit
, 2009
"... The equilibrium thermodynamic properties of the SU(N) plasma at finite temperature are studied nonperturbatively in the largeN limit, via lattice simulations. We present highprecision numerical results for the pressure, trace of the energymomentum tensor, energy density and entropy density of SU( ..."
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Cited by 41 (4 self)
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The equilibrium thermodynamic properties of the SU(N) plasma at finite temperature are studied nonperturbatively in the largeN limit, via lattice simulations. We present highprecision numerical results for the pressure, trace of the energymomentum tensor, energy density and entropy density of SU(N) YangMills theories with N = 3, 4, 5, 6 and 8 colors, in a temperature range from 0.8Tc to 3.4Tc (where Tc denotes the critical deconfinement temperature). The results, normalized according to the number of gluons, show a very mild dependence on N, supporting the idea that the dynamics of the stronglyinteracting QCD plasma could admit a description based on largeN models. We compare our numerical data with general expectations about the thermal behavior of the deconfined gluon plasma and with various theoretical descriptions, including, in particular, the improved holographic QCD model recently proposed by Kiritsis and collaborators. We also comment on the relevance of an AdS/CFT description for the QCD plasma in a phenomenologically interesting temperature range where the system, while still stronglycoupled, approaches a ‘quasiconformal’ regime characterized by approximate scale invariance. Finally, we perform an extrapolation of our