论文标题

非最小$ r_ {μανβ} f^{(a)μα} f^{(a)νβ} $ ads黑色brane的全息方面

Holographic Aspects of Non-minimal $R_{μανβ} F^{(a)μα} F^{(a)νβ} $ AdS Black Brane

论文作者

Sadeghi, Mehdi

论文摘要

在本文中,我们研究了爱因斯坦 - 杨米尔斯模型中的渐近抗DE保姆黑褐色的全息偶,并在里曼和阳米尔斯领域之间具有非最小的耦合。首先,我们将该模型的平面黑洞解决方案构建到Yang-Mills字段与Riemann-Christoffel Tensor的一阶,以$ Q_2 $表示。然后,我们计算颜色的非亚伯直流电流(DC)电导率以及该溶液的剪切粘度与熵密度的比率。我们的剪切粘度$η$与熵密度$ s $比例的结果使Kovtun,儿子和Starinets(KSS)结合,这与$ \ frac {1} {4π} $成正比。但是,我们的电导率结果是$ q_2 $的第一阶。

In this paper, we study the holographic dual to an asymptotically anti-de Sitter black brane in an Einstein-Yang-Mills model with a non-minimal coupling between the Riemann and Yang-Mills fields. First, we construct a planar black hole solution of this model up to the first order of the non-minimal coupling of the Yang-Mills field with the Riemann-Christoffel tensor, denoted as $q_2$. Then, we calculate the color non-abelian direct current (DC) conductivity and the ratio of shear viscosity to entropy density for this solution. Our result for the shear viscosity $η$ to entropy density $s$ ratio saturates the Kovtun, Son, and Starinets (KSS) bound, which is proportional to $\frac{1}{4 π}$. However, our result for the conductivity is new up to the first order of $q_2$.

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