Hall viscosity to entropy ratio in higher derivative theories

Abstract

In this paper based on the basic principles of gauge/gravity duality we compute the hall viscosity to entropy ratio in the presence of various higher derivative corrections to the dual gravitational description embedded in an asymptotically $Ad{S}_4$ space time. As the first step of our analysis, considering the back reaction we impose higher derivative corrections to the abelian gauge sector of the theory where we notice that the ratio indeed gets corrected at the leading order in the coupling. Considering the probe limit as a special case we compute this leading order correction over the fixed background of the charged black brane solution. Finally we consider higher derivative ($R^2$) correction to the gravity sector of the theory where we notice that the above ratio might get corrected at the sixth derivative level.

Latex,19 pages, Version to appear in JHEP

References in corpus (16)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Building an AdS/CFT superconductor
• Nonlinear Fluid Dynamics from Gravity
• Viscosity, Black Holes, and Quantum Field Theory
• Viscosity Bound and Causality Violation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Beyond eta/s = 1/4pi
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• Universal holographic hydrodynamics at finite coupling
• Non-universal shear viscosity from Einstein gravity
• Shear viscosity of boost invariant plasma at finite coupling
• Shear Viscosity from AdS Born-Infeld Black Holes
• Higher Derivative Corrections to Shear Viscosity from Graviton's Effective Coupling
• Shear viscosity of CFT plasma at finite coupling
• Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity
• Anti de Sitter black holes and branes in dynamical Chern-Simons gravity: perturbations, stability and the hydrodynamic modes