  These are the notes for a lecture which I presented at the International
Conference on New Frontiers in Physics in Kolymbari, Crete in July, 2018. They
review an idea which posits a phase of a two-dimensional system of cold
N-component Fermions which exhibits spontaneously broken approximate scale
symmetry when studied in the large N expansion. Near criticality, the phase
exhibits anomalously small pressure and large compressibility. Some of the
consequences of the approximate scale symmetry, such as the existence of a
dilaton and its properties are discussed.
