Higher derivative effects on eta/s at finite chemical potential

Abstract

We examine the effects of higher derivative corrections on eta/s, the ratio of shear viscosity to entropy density, in the case of a finite R-charge chemical potential. In particular, we work in the framework of five-dimensional N =2 gauged supergravity, and include terms up to four derivatives, representing the supersymmetric completion of the Chern-Simons term A \wedge Tr (R \wedge R). The addition of the four-derivative terms yields a correction which is a 1/N effect, and in general gives rise to a violation of the eta/s bound. Furthermore, we find that, once the bound is violated, turning on the chemical potential only leads to an even larger violation of the bound.

Typos fixed, references and comments on conventions added

References in corpus (9)

• 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
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Quantum corrections to eta/s
• Shear Viscosity from Effective Couplings of Gravitons
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence

Cited by in corpus (17)

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• Non-relativistic metrics with extremal limits
• Higher Derivative Supergravities in Diverse Dimensions
• Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
• Holographic current correlators at finite coupling and scattering off a supersymmetric plasma
• R^2 Corrections to Asymptotically Lifshitz Spacetimes
• Higher-derivative holography with a chemical potential
• Universal relations of transport coefficients from holography
• A modulated shear to entropy ratio
• Second order equilibrium transport in strongly coupled $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography
• Unitarity constraints on the ratio of shear viscosity to entropy density in higher derivative gravity
• Quantum corrections to screening at strong coupling
• The correlation of WGC and Hydrodynamics bound with $R^4$ correction in the charged AdS${}_{d+2}$ black brane
• Hydrodynamics dual to Einstein-Gauss-Bonnet gravity: all-order gradient resummation