Hydrodynamics of R-charged black holes
TLDR
In this paper, the authors considered hydrodynamics of = 4 supersymmetric SU(Nc) Yang-Mills plasma at a nonzero density of R-charge and computed the shear viscosity as a function of chemical potentials conjugated to the three U(1)⊂SO(6)R charges.Abstract:
We consider hydrodynamics of = 4 supersymmetric SU(Nc) Yang-Mills plasma at a nonzero density of R-charge. In the regime of large Nc and large 't Hooft coupling the gravity dual description involves an asymptotically Anti- de Sitter five-dimensional charged black hole solution of Behrnd, Cvetic 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.read more
Citations
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Quasinormal modes of black holes and black branes
TL;DR: Quasinormal modes are eigenmodes of dissipative systems as discussed by the authors, and they serve as an important tool for determining the near-equilibrium properties of strongly coupled quantum field theories, such as viscosity, conductivity and diffusion constants.
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Nonlinear fluid dynamics from gravity
TL;DR: In this article, a derivation of the nonlinear equations of boundary fluid dynamics from gravity from gravity is presented, with specific values for fluid parameters, and an explicit expression for the expansion of this fluid stress tensor including terms up to second order in the derivative expansion.
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Quasinormal modes of black holes: From astrophysics to string theory
Roman Konoplya,A. Zhidenko +1 more
TL;DR: In this paper, a review of recent achievements on various aspects of black hole perturbations are discussed such as decoupling of variables in the perturbation equations, quasinormal modes (with special emphasis on various numerical and analytical methods of calculations), late-time tails, gravitational stability, anti-de Sitter/conformal field theory interpretation, and holographic superconductors.
Journal ArticleDOI
Nonlinear Fluid Dynamics from Gravity
TL;DR: In this paper, a derivation of the nonlinear equations of boundary fluid dynamics from gravity from gravity is presented, with specific values for fluid parameters, and an explicit expression for the expansion of this fluid stress tensor including terms up to second order in the derivative expansion.
Journal ArticleDOI
Viscosity, Black Holes, and Quantum Field Theory
TL;DR: In this article, the authors show how the hydrodynamic behavior of field theory is reflected in the low-momentum limit of correlation functions computed through a real-time AdS/CFT prescription, which they formulate.
References
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The Large N limit of superconformal field theories and supergravity
TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
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Anti De Sitter Space And Holography
TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
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Gauge Theory Correlators from Non-Critical String Theory
TL;DR: In this paper, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.
Posted Content
Anti de sitter space and holography
TL;DR: In this article, a correspondence between conformal field theory observables and those of supergravity was proposed, where correlation functions in conformal fields are given by the dependence of the supergravity action on the asymptotic behavior at infinity.
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Large N Field Theories, String Theory and Gravity
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.