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Anomalies for Galilean fields
by Kristan Jensen
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Submission summary
| Authors (as registered SciPost users): | Kristan Jensen |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1412.7750v2 (pdf) |
| Date accepted: | 2018-07-09 |
| Date submitted: | 2018-06-18 02:00 |
| Submitted by: | Jensen, Kristan |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
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.
Published as SciPost Phys. 5, 005 (2018)