Symmetries of Post-Galilean Expansions
Journal article, 2020
In this Letter we study an infinite extension of the Galilei symmetry group in any dimension that can be thought of as a nonrelativistic or post-Galilean expansion of the Poincaré 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.
Author
Joaquim Gomis
University of Barcelona
Axel Kleinschmidt
Max Planck Society
Jakob Palmkvist
University of Gothenburg
Chalmers, Mathematical Sciences, Algebra and geometry
Patricio Salgado-Rebolledo
Pontificia Universidad Católica de Valparaíso
Physical Review Letters
0031-9007 (ISSN) 1079-7114 (eISSN)
Vol. 124 8 081602Subject Categories
Algebra and Logic
Geometry
Mathematical Analysis
DOI
10.1103/PhysRevLett.124.081602
PubMed
32167318