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Symmetries of post-Galilean expansions

High Energy Physics - Theory 2020-03-17 v2 High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology

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.

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Cite

@article{arxiv.1910.13560,
  title  = {Symmetries of post-Galilean expansions},
  author = {Joaquim Gomis and Axel Kleinschmidt and Jakob Palmkvist and Patricio Salgado-Rebolledo},
  journal= {arXiv preprint arXiv:1910.13560},
  year   = {2020}
}

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6 pages