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

TL;DR

This paper introduces a novel non-abelian arcsin-Yang-Mills AdS black brane solution and calculates its conductivity and shear viscosity, confirming the KSS bound while revealing a violation of the color conductivity bound.

Contribution

The paper presents a new non-abelian arcsin-Yang-Mills AdS black brane solution and analyzes its transport properties using fluid-gravity duality.

Findings

KSS bound is saturated at 1/4π

Color conductivity bound is violated

Results recover Yang-Mills AdS black brane in the weak coupling limit

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.