Holographic GB gravity in arbitrary dimensions

Abstract

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general $D\ge 5$ dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings arising in correlators of the stress tensor of the dual CFT. This allows us to examine constraints on the gravitational couplings by demanding consistency of the CFT. In particular, one can demand positive energy fluxes in scattering processes or the causal propagation of fluctuations. We also examine the holographic hydrodynamics, commenting on the shear viscosity as well as the relaxation time. The latter allows us to consider causality constraints arising from the second-order truncated theory of hydrodynamics.

48 pages, 9 figures. v2: New discussion on free fields in subsection 3.3 and new appendix B on conformal tensor fields. Added comments on the relation between the central charge appearing in the two-point function and the "central charge" characterizing the entropy density in the discussion. References added

References in corpus (56)

• Gauge Theory Correlators from Non-Critical String Theory
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The Holographic Weyl anomaly
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Nonlinear Fluid Dynamics from Gravity
• Gauss-Bonnet Black Holes in AdS Spaces
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Conformal collider physics: Energy and charge correlations
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Quasinormal modes and holography
• Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Viscosity Bound Violation in Higher Derivative Gravity
• Viscosity, Black Holes, and Quantum Field Theory
• Entropy and Temperature of Black 3-Branes
• New Developments in Relativistic Viscous Hydrodynamics
• Universality of the shear viscosity in supergravity
• Viscosity Bound and Causality Violation
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
• Conserved Currents and the Energy Momentum Tensor in Conformally Invariant Theories for General Dimensions
• Beyond eta/s = 1/4pi
• Black Holes in Quasi-topological Gravity
• D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
• Holography and the Weyl anomaly
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• Holographic studies of quasi-topological gravity
• On universality of stress-energy tensor correlation functions in supergravity
• Causality of Holographic Hydrodynamics
• Holographic Hydrodynamics with a Chemical Potential
• Holographic spectral functions and diffusion constants for fundamental matter
• AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
• Quantum corrections to eta/s
• Shear Viscosity from Effective Couplings of Gravitons
• Universal holographic hydrodynamics at finite coupling
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant
• The shear viscosity of gauge theory plasma with chemical potentials
• Universal conductivity and central charges
• Polylogarithm Identities in a Conformal Field Theory in Three Dimensions
• Holographic Viscosity of Fundamental Matter
• Three-point Green function of the stress-energy tensor in the AdS/CFT correspondence
• The viscosity bound in string theory
• Transport coefficients, membrane couplings and universality at extremality
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• Transport Coefficients at Zero Temperature from Extremal Black Holes
• The shear viscosity of the non-commutative plasma
• Conformal Holography of Bulk Elliptic Flow and Heavy Quark Quenching in Relativistic Heavy Ion Collisions
• Black holes and universality classes of critical points
• Constraints on AdS/CFT Gravity Dual Models of Heavy Ion Collisions
• Non-relativistic metrics with extremal limits
• Viscosity to entropy ratio at extremality
• sQGP as hCFT

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