On Newton-Cartan trace anomalies

We classify the trace anomaly for parity-invariant non-relativistic schrödinger theories in 2 + 1 dimensions coupled to background newton-cartan gravity. the general anomaly structure looks very different from the one in the z = 2 lifshitz theories. the type a content of the anomaly is remarkably identical to that of the relativistic 3 + 1 dimensional case, suggesting the conjecture that an a-theorem should exist also in the newton-cartan context.