The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 20 1 2020 05 21 Einstein-Yang-Mills black brane in ads space and dc color conductivity Einstein-Yang-Mills black brane in ads space and dc color conductivity 139 145 1602 10.47176/ijpr.20.1.39001 FA Sha Parvizi Department of Physics, School of Sciences, Tarbiat Modares University, Tehran, Iran M Sadeghi Department of Physics, School of Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran Journal Article 2019 09 16 Considering the SU(2) Yang-Mills theory in a 4-dimensional Einstein Gravity, we find a black brane solution in the AdS space. For this setup, by using the AdS/CFT holography, we find non-Abelian color conductivity of the gauge theory on the  boundary of the AdS space. Color conductivity is defined by the generalized Ohm’s law and computed by applying holography to the linear response theory. Considering the SU(2) Yang-Mills theory in a 4-dimensional Einstein Gravity, we find a black brane solution in the AdS space. For this setup, by using the AdS/CFT holography, we find non-Abelian color conductivity of the gauge theory on the  boundary of the AdS space. Color conductivity is defined by the generalized Ohm’s law and computed by applying holography to the linear response theory. https://ijpr.iut.ac.ir/article_1602_1bc0249a6412ef49b07fe6f62e6dc8de.pdf