Gauging nonrelativistic field theories using the coset construction

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.

18 pages, no figures -- typos corrected, matches published version

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Cited by in corpus (10)

• Semiclassics, Goldstone Bosons and CFT data
• Scale and Weyl Invariance in Einstein-Cartan Gravity
• Heat kernel methods for Lifshitz theories
• Homogeneous Nonrelativistic Geometries as Coset Spaces
• Gauge coupling unification without leptoquarks
• On the strong-CP problem and its axion solution in torsionful theories
• More on the operator-state map in non-relativistic CFTs
• Constrained Hamiltonian analysis of a non relativistic Schrodinger field coupled with C-S gravity
• Canonical Formulation for a Non-relativistic Spinning Particle Coupled to Gravity
• Galilean Geometry in Condensed Matter Systems