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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Auzzi, R., Baiguera, S. & Nardelli, G. On Newton-Cartan trace anomalies. J. High Energ. Phys. 2016, 3 (2016). https://doi.org/10.1007/JHEP02(2016)003
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DOI: https://doi.org/10.1007/JHEP02(2016)003