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Symmetries of post-Galilean expansions

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arxiv 1910.13560 v2 pith:TEB6IPDR submitted 2019-10-29 hep-th astro-ph.HEgr-qc

Joaquim Gomis , Axel Kleinschmidt , Jakob Palmkvist , Patricio Salgado-Rebolledo This is my paper · ORCID
classification hep-thastro-ph.HEgr-qc
keywords galileigrouppost-galileanspacesymmetryactionsactsconstruct
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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.

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  1. 3D Carrollian gravity from 2D Euclidean symmetry

    hep-th 2024-12 conditional novelty 4.0 of 10

    Post-Carroll-Newtonian Chern-Simons gravities are systematically obtained by semigroup-expanding 2D Euclidean B_k algebras, recovering known Carrollian models as subcases.

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