Appears in collection : 2024 IHES Summer School – Symmetries and Anomalies : a Modern Take

We will review the notions of Schrödinger symmetry and nonrelativistic conformal field theory, in particular the restrictions that Schrödinger symmetry imposes on correlation function and the operator-state correspondence. We will then consider the most important example of NRCFT --- fermions at unitarity, and derive physical consequences of the formalism.