  We use gauge/gravity duality to study the thermodynamics of a field theory
with asymptotic freedom in the ultraviolet and a fixed point in the infrared.
We find a high temperature quark-gluon phase and a low T conformal unparticle
phase. The phase transition between the phases is of first order or continuous,
depending on the ratio of the radii of asymptotic AdS5 spaces at T=0 and
T=infinity. This is a prediction from a model of gauge/gravity duality, not yet
verified on the field theory side.
