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Anomalies for Galilean fields

by Kristan Jensen

Submission summary

As Contributors: Kristan Jensen
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
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.

Ontology / Topics

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't Hooft anomalies Anomalies Conformal field theory (CFT) Discrete light-cone quantization (DLCQ) Galilean field theories Gravitational anomalies Weyl anomalies

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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