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In this paper, we consider Einstein-Hilbert gravity in the presence ofcosmological constant and non-abelian nonlinear electromagnetic field ofBorn-Infeld type which is minimally coupled to gravity. First, black branesolution of this model is introduced and then color non-abelian DC conductivityis calculated for this solution by using AdS/CFT duality.

Non-abelian Einstein-Born-Infeld AdS black brane and color DC conductivity