Conductivity and Shear Viscosity of $arcsin$-Yang-Mills AdS Black Brane

Abstract

In this paper, a non-abelian $arcsin$-Yang-Mills AdS black brane solution is introduced. Then, the color non-abelian direct current (DC) conductivity and shear viscosity to entropy density ratio of this model is calculated using fluid-gravity duality. Our results show that the Kovtun, Son and Starinets (KSS) bound is saturated and is exactly equal to $\frac{1}{4\pi }$ but the color conductivity bound is violated for this model. Also, our outcomes recover the Yang-Mills AdS black brane when the coupling of Yang-Mills and gravity fields approaches zero.

9 Pages, no figure, version accepted for publication in INJP

References in corpus (7)

• Nonlinear Fluid Dynamics from Gravity
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Thermoelectric DC conductivities from black hole horizons
• Nonlinear $\arcsin$-electrodynamics and asymptotic Reissner-Nordström black holes
• Universal Bounds on Transport in Holographic Systems with Broken Translations
• Effective Lagrangian at Cubic Order in Electromagnetic Fields and Vacuum Birefringence
• Vacuum Birefringence Caused by Arbitrary Spin Particles