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As the long wavelength limit of the AdS/CFT correspondence, the gravity/fluidcorrespondence has been shown to be a useful tool for extracting properties ofthe fluid on the boundary dual to the gravity in the bulk. In this paper, afterbriefly reviewing the algorithm of gravity/fluid correspondence, we discuss theresults of its application on bulk gravity with a $U(1)$ gauge field. In thepresence of a $U(1)$ gauge field, the dual fluid possesses more interestingproperties such as its charge current. Furthermore, an external field$A_\mu^{ext}$ could affect the charge current, and the $U(1)$ Chern-Simons termalso reinduces extra structures to the dual current giving anomalous transportcoefficients.

Gravity/Fluid Correspondence and Its Application on Bulk Gravity with $U(1)$ Gauge Field