Nonlinear Yang-Mills AdS black brane and DC conductivity

TL;DR

This paper explores a nonlinear Yang-Mills AdS black brane solution in Einstein gravity and calculates its DC conductivity using AdS/CFT duality, revealing how nonlinearity affects transport properties.

Contribution

It introduces a new black brane solution with nonlinear Yang-Mills fields and computes the associated DC conductivity via holography, extending previous linear models.

Findings

Retrieved Yang-Mills model as nonlinearity parameter approaches zero

Calculated DC conductivity for the nonlinear black brane

Demonstrated impact of nonlinearity on holographic conductivity

Abstract

In this paper, we examine Einstein-Hilbert gravity featuring a cosmological constant and a non-abelian nonlinear electromagnetic field that is minimally coupled to gravity. We first present the black brane solution for this model and subsequently calculate the color non-abelian DC conductivity for this solution using AdS/CFT duality. Our results retrieve the Yang-Mills model in the limit as $q_1$ approaches zero.