Gravity/fluid correspondence and its application on bulk gravity with \(U(1)\) gauge field (Q2337709)

Summary: As the long wavelength limit of the AdS/CFT correspondence, the gravity/fluid correspondence has been shown to be a useful tool for extracting properties of the fluid on the boundary dual to the gravity in the bulk. In this paper, after briefly reviewing the algorithm of gravity/fluid correspondence, we discuss the results of its application on bulk gravity with a \(U(1)\) gauge field. In the presence of a \(U(1)\) gauge field, the dual fluid possesses more interesting properties such as its charge current. Furthermore, an external field \(A_\mu^{\mathrm{ext}}\) could affect the charge current, and the \(U(1)\) Chern-Simons term also induces extra structures to the dual current giving anomalous transport coefficients.