Symmetries of post-Galilean expansions

Abstract

In this letter we study an infinite extension of the Galilei symmetry group in any dimension that can be thought of as a non-relativistic or post-Galilean expansion of the Poincare symmetry. We find an infinite-dimensional vector space on which this generalized Galilei group acts and usual Minkowski space can be modeled by our construction. We also construct particle and string actions that are invariant under these transformations.

6 pages

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• A 3+1 formulation of the 1/c expansion of General Relativity
• Setting the connection free in the Galilei and Carroll expansions of gravity
• Lie Algebra Expansions, Non-Relativistic Matter Multiplets and Actions
• A free Lie algebra approach to curvature corrections to flat space-time
• Hydrodynamics in the Carrollian regime
• Non-Lorentzian Supergravity and Kinematical Superalgebras
• Supersymmetric algebra of the massive supermembrane
• Three-dimensional non-relativistic Hietarinta supergravity
• Generalised Bargmann Superalgebras
• Space-time Schrödinger symmetries of a post-Galilean particle