Holographic Aspects of Non-minimal $R_{\mu \alpha \nu \beta }{F}^{(a)\mu \alpha }{F}^{(a)\nu \beta }$ AdS Black Brane

Abstract

In this paper, we study the holographic dual to an asymptotically anti-de Sitter black brane in an Einstein-Yang-Mills model with a non-minimal coupling between the Riemann and Yang-Mills fields. First, we construct a planar black hole solution of this model up to the first order of the non-minimal coupling of the Yang-Mills field with the Riemann-Christoffel tensor, denoted as $q_2$. Then, we calculate the color non-abelian direct current (DC) conductivity and the ratio of shear viscosity to entropy density for this solution. Our result for the shear viscosity $\eta$ to entropy density $s$ ratio saturates the Kovtun, Son, and Starinets (KSS) bound, which is proportional to $\frac{1}{4\pi }$. However, our result for the conductivity is new up to the first order of $q_2$.

arXiv comment11 Pages, no figure, typo corrected, references added, minor modifications, accepted for publication in CQG

References in corpus (26)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Building an AdS/CFT superconductor
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Nonlinear Fluid Dynamics from Gravity
• From AdS/CFT correspondence to hydrodynamics
• Lectures on hydrodynamic fluctuations in relativistic theories
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Thermoelectric DC conductivities from black hole horizons
• Non-minimal coupling for the gravitational and electromagnetic fields: A general system of equations
• Absence of disorder-driven metal-insulator transitions in simple holographic models
• Viscosity bound violation in holographic solids and the viscoelastic response
• A theory of first order dissipative superfluid dynamics
• Entropy production, viscosity bounds and bumpy black holes
• Non-minimal Wu-Yang monopole
• Regular nonminimal magnetic black holes in spacetimes with a cosmological constant
• Effective Transport Equations for non-Abelian Plasmas
• On holographic disorder-driven metal-insulator transitions
• Nonminimal coupling for the gravitational and electromagnetic fields: Traversable electric wormholes
• Non-minimal Wu-Yang wormhole
• Hydrodynamics of a Black Brane in Gauss-Bonnet Massive Gravity
• Shear viscosity from black holes in generalized scalar-tensor theories in arbitrary dimensions
• Planar black holes configurations and shear viscosity in arbitrary dimensions with shift and reflection symmetric scalar-tensor theories
• AdS${}_5$-Schwarzschild deformed black branes and hydrodynamic transport coefficients
• Non-abelian Einstein-Born-Infeld AdS black brane and color DC conductivity

Cited by in corpus (3)

• Deformations of the AdS-Schwarzschild black brane and the shear viscosity of the quark-gluon plasma
• Thermodynamic Behavior of a 4D Nonminimal Maxwell-AdS Black Hole
• Holographic Aspects of Non-minimal $R^3{F}^2$ Black Brane in an EFT Framework