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.
Auzzi, R., Baiguera, S., Nardelli, G. (2016). On Newton-Cartan trace anomalies. JOURNAL OF HIGH ENERGY PHYSICS, 2016(2), 1-16 [10.1007/JHEP02(2016)003].
On Newton-Cartan trace anomalies
Baiguera S.;
2016
Abstract
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.
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