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Anomalies for Galilean fields

by Kristan Jensen

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Submission summary

Authors (as Contributors): Kristan Jensen
Submission information
Arxiv 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:
  • High-Energy Physics - Theory
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.

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.

Submission & Refereeing History

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Resubmission 1412.7750v2 on 18 June 2018

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