We construct and probe a holographic description of a state of matter that results from coupling a Fermi liquid to a relativistic conformal field theory (CFT). The bulk solution is described by a quantum gas of fermions supported from collapse into the gravitational well of anti-de Sitter space by their own electrostatic repulsion. A physical interpretation of our result is that, in the probe limit studied here, the Landau quasiparticles survive this coupling to a CFT.