Gauging nonrelativistic field theories using the coset construction

2016/01/31 by Georgios K. Karananas, Alexander Monin · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Coset #Discrete mathematics #Geometry #Homogeneous space #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum mechanics #Scale invariance #Spacetime #Theoretical physics #Torsion (gastropod) #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.93.064069

published as Phys. Rev. D 93, 064069 (2016) · 18 pages, no figures -- typos corrected, matches published version

openalex publication_date 2016/03/28 · arxiv created 2016/03/29 · arxiv updated 2016/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Gravity Duals for Nonrelativistic Conformal Field Theories
• Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach
• Localisation of the Galilean symmetry and dynamical realisation of Newton-Cartan geometry
• Structure of Phenomenological Lagrangians. I
• Torsional Newton-Cartan Geometry and the Schrödinger Algebra
• Structure of Phenomenological Lagrangians. II

Cited by

• Poincaré, Scale and Conformal Symmetries: Gauge Perspective and Cosmological Ramifications