  The shear viscosity, eta, of a fermi gas with non-relativistic conformal
symmetry in two spatial dimensions is investigated. We find that eta/s, s being
the entropy density, diverges as a gas of free particles in this system. It is
in contrast to the eta/s=1/(4 pi) found using non-relativistic AdS/CFT
correspondence, which requires a strongly interacting CFT. It implies the
unitary fermi gas in two spatial dimensions is not likely to have a weakly
interacting gravity dual.
