AdS black brane coupled to non-abelian logarithmic gauge theory and color DC conductivity

TL;DR

This paper explores Einstein-Hilbert gravity with a non-abelian logarithmic gauge field, deriving black brane solutions and calculating color DC conductivity via AdS/CFT, extending Yang-Mills models in a specific limit.

Contribution

It introduces a novel Einstein-Hilbert gravity model coupled with a non-abelian logarithmic gauge field and computes the associated color DC conductivity using holographic duality.

Findings

Black brane solutions in the new model are obtained.

Color DC conductivity is calculated holographically.

Results recover Yang-Mills behavior as the coupling parameter approaches zero.

Abstract

In this paper, we consider Einstein-Hilbert gravity in the presence of cosmological constant and non-abelian nonlinear electromagnetic field of logarithmic type which is minimally coupled to gravity. First, black brane solution of this model is introduced and then color non-abelian DC conductivity is calculated for this solution by using AdS/CFT duality. Our result recovers the Yang-Mills model in $\lambda \to 0$ limit.