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

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 λ → 0 limit.

Holographic Aspects of Non-minimal $RF^{(a)}_{μα}F^{(a)μα} $ Black Brane

“…The bound of DC conductivity is as σ ≥ 1 e 2 = 1 where e is the unit of charge carried by gauge field -not the unit of charge in the boundary of theory. This bound is violated for massive gravity [21], theories with background fields [22], Non-abelian Einstein-Born-Infeld AdS theory [23], and AdS black brane coupled to non-abelian logarithmic gauge theory [24]. In this paper, we want to study the non-minimal electric black branes with a cosmological constant and study the holographic aspects by calculation of conductivity and shear viscosity to entropy density.…”

Holographic aspects of non-minimal R μανβ F (a)μα F (a)νβ AdS black brane

“…There is a universal bound for the conductivity, σ > 1 where σ is measured in units of e 2 ℏ and e represents the charge carried by the gauge field [20]. This bound is violated in various theories, including massive gravity [20], models with background fields [21], non-abelian Born-Infeld theory [22], nonabelian logarithmic type of Born-Infeld theory [23] and a system with disorder [24]. We want to investigate whether this bound is preserved for our model or not.…”