  We study the field theory dual to a charged gravitational background in which
the low temperature entropy scales linearly with the temperature. We exhibit
the existence of a sound mode which is described by hydrodynamics, even at
energies much larger than the temperature, and explain how this, and other
properties of the field theory, are consistent with those of a
(3+1)-dimensional Landau Fermi liquid, finely tuned to the Pomeranchuk critical
point. We also discuss how one could engineer a higher-derivative gravitational
Lagrangian which reproduces the correct low temperature behavior of shear
viscosity in a generic Landau Fermi liquid.
