Gauging nonrelativistic field theories using the coset construction

TL;DR

This paper explores how nonrelativistic spacetime symmetries, including Galilei and Lifshitz algebras, can be gauged using the coset construction, examining conditions for scale invariance and the role of torsion.

Contribution

It provides a systematic approach to gauge nonrelativistic symmetries with the coset construction, clarifying the role of torsion and scale transformations.

Findings

Gauged nonrelativistic symmetries using coset methods

Identified conditions for scale invariance in these theories

Clarified the role of torsion in nonrelativistic gauge theories

Abstract

We discuss how nonrelativistic spacetime symmetries can be gauged in the context of the coset construction. We consider theories invariant under the centrally extended Galilei algebra as well as the Lifshitz one, and we investigate under what conditions they can be supplemented by scale transformations. We also clarify the role of torsion in these theories.