Within the context of the $\mathrm{AdS}/\mathrm{CFT}$ correspondence, we show that the DC thermoelectric conductivity can be obtained by solving the linearized, time-independent, and forced Navier-Stokes equations on the black hole horizon for an incompressible and charged fluid.

• Received 29 June 2015

DOI:https://doi.org/10.1103/PhysRevD.92.121901