  Recently holographic techniques have been used to study the thermal
properties of N=2 super-Yang-Mills theory, with gauge group SU(Nc) and coupled
to Nf << Nc flavours of fundamental matter, at large Nc and large 't Hooft
coupling. Here we consider the phase diagram as a function of temperature and
baryon chemical potential mu. For fixed mu < Nc Mq there is a line of first
order thermal phase transitions separating a region with vanishing baryon
density and one with nonzero density. For fixed mu > Nc Mq there is no phase
transition as a function of the temperature and the baryon density is always
nonzero. We also compare the present results for the grand canonical ensemble
with those for canonical ensemble in which the baryon density is held fixed
[1].
