Appears in collection : Mikefest : A conference in honor of Michael Douglas’ 60th birthday

I will describe the results of a series of works in which we have found systems for which Spontaneous Symmetry Breaking(SSB) persists to very high temperatures. The systems involve Conformal Field Theories of scalars in fractional dimensions 3<d<3 and for Gauge Theories in d=4. The systems are studied in the limit of various large numbers of species. In the process, we have found non-supersymmetric conformal manifolds as well as cases of non-supersymmetric effective potentials with flat directions. The SSB results in the formation of a dilaton.