Nonlinear Yang–Mills AdS black brane and DC conductivity

In this paper, we examine Einstein–Hilbert gravity featuring a cosmological constant and a nonabelian nonlinear electromagnetic field that is minimally coupled to gravity. We first present the black brane solution for this model and subsequently calculate the color nonabelian DC conductivity for this solution using AdS/conformal field theory duality. Our results retrieve the Yang–Mills model in the limit as q 1 approaches zero.