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Anomalies for Galilean fields
by Kristan Jensen
- Published as SciPost Phys. 5, 005 (2018)
|As Contributors:||Kristan Jensen|
|Submitted by:||Jensen, Kristan|
|Submitted to:||SciPost Physics|
|Subject area:||High-Energy Physics - Theory|
We initiate a systematic study of `t Hooft anomalies in Galilean field theories, focusing on two questions therein. In the first, we consider the non-relativistic theories obtained from a discrete light-cone quantization (DLCQ) of a relativistic theory with flavor or gravitational anomalies. We find that these anomalies survive the DLCQ, becoming mixed flavor/boost or gravitational/boost anomalies. We also classify the pure Weyl anomalies of Schr\"odinger theories, which are Galilean conformal field theories (CFTs) with $z=2$. There are no pure Weyl anomalies in even spacetime dimension, and the lowest-derivative anomalies in odd dimension are in one-to-one correspondence with those of a relativistic CFT in one dimension higher. These results classify many of the anomalies that arise in the field theories dual to string theory on Schr\"odinger spacetimes.
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Published as SciPost Phys. 5, 005 (2018)
List of changes
Per the referees' suggestion, I added a brief note at the end of the Introduction summarizing some of the main developments viz. anomalies in Galilean field theories since my note originally appeared on arXiv.