Shear Viscosity and Chern-Simons Diffusion Rate from Hyperbolic Horizons

Abstract

We calculate the shear viscosity and anomalous baryon number violation rate in quantum field theories at finite temperature having gravity duals with hyperbolic horizons. We find the explicit dependence of these quantities on the temperature. We show that the ratio of shear viscosity to entropy density is below $1/(4\pi )$ at all temperatures and it can be made arbitrarily small in the low temperature limit.

4 pages, 1 figure, minor changes, published in PLB

References in corpus (14)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Viscosity Bound Violation in Higher Derivative Gravity
• Viscosity Bound and Causality Violation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Quantum corrections to eta/s
• Expanding plasmas and quasinormal modes of anti-de Sitter black holes
• Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence
• Shear Viscosity from AdS Born-Infeld Black Holes
• Quasi-normal Modes of Electromagnetic Perturbations of Four-Dimensional Topological Black Holes with Scalar Hair
• Low-lying gravitational modes in the scalar sector of the global AdS_4 black hole
• Exact Gravitational Quasinormal Frequencies of Topological Black Holes
• Phase Transitions in Charged Topological-AdS Black Holes
• Low-lying quasinormal modes of topological AdS black holes and hydrodynamics

Cited by in corpus (12)

• Shear Viscosity from Effective Couplings of Gravitons
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Universality of second order transport coefficients from the gauge-string duality
• Real time response on dS_3: the Topological AdS Black Hole and the Bubble
• Holographic thermalization in Gauss-Bonnet gravity with de Sitter boundary
• Transport Coefficients from Extremal Gauss-Bonnet Black Holes
• The Chern-Simons diffusion rate from higher curvature gravity
• The Weak Gravity Conjecture and the Viscosity Bound with Six-Derivative Corrections
• The correlation of WGC and Hydrodynamics bound with $R^4$ correction in the charged AdS${}_{d+2}$ black brane
• Computational Complexity in Analogue Gravity
• On Subextensive Corrections to Fluid Dynamics from Gravity
• Time-dependent Backgrounds in String Theory and Dualities