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.
De Nathan Seiberg
De Vijay Balasubramanian
De Steve Zelditch
De Eva Silverstein
De Eliezer Rabinovici
De Alexander Gorsky
De Rémi Monasson
De David McAllester
De Luca Mazzucato
De Alexander Belavin
De Washington Taylor
De Gérard Ben Arous
De Olivier Benoist
De Viviane Pons
