  Many non-relativistic Quantum Field Theories with conserved particle number
share a common set of symmetries: time dependent spatial diffeomorphisms acting
on the background metric and U(1) invariance acting on the background fields
which couple to particle number. Here we use these symmetries to deduce a
gravity dual for any such theory in terms of a non-relativistic theory of
gravity, a variant of Horava gravity. This duality allows the extension of
holography to generic non-relativistic field theories. As Horava gravity is
presumed to be a consistent quantum theory, this duality also allows holography
to move beyond the limit of a large number of colors, in principle. In the case
when the field theory is conformally invariant, we prove that our proposal
reproduces the form of the two point function demanded by this symmetry.
