  We consider non-relativistic conformal quantum mechanical theories that arise
by doing discrete light cone quantization of field theories. If the field
theory has a gravity dual, then the conformal quantum mechanical theory can
have a gravity dual description in a suitable finite temperature and finite
density regime. Using this we compute the thermodynamic properties of the
system. We give an explicit example where we display both the conformal quantum
mechanical theory as well as the gravity dual. We also discuss the string
theory embedding of certain backgrounds with non-relativistic conformal
symmetry that were recently discussed. Using this, we construct finite
temperature and finite density solutions, with asymptotic non-relativistic
conformal symmetry. In addition, we derive consistent Kaluza-Klein truncations
of type IIB supergravity to a five dimensional theory with massive vector
fields.
