Operator Product Expansion and Conservation Laws in Non-Relativistic Conformal Field Theories

Understand

We explore the consequences of conformal symmetry for the operator product expansions in nonrelativistic field theories.

• Similar to the relativistic case, the OPE coefficients of descendants are related to that of the primary.
• However, unlike relativistic CFTs the 3-point function of primaries is not completely specified by conformal symmetry.
• Here, we show that the 3-point function between operators with nonzero particle number, where (at least) one operator has the lowest dimension allowed by unitarity, is determined up to a numerical coefficient.