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High Energy Physics - Theory, hep-th, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE,General Relativity and Quantum Cosmology, gr-qc
Abstract:
In this note we introduce an infinite-dimensional space on which an
infinite-dimensional generalization of the Galilei group acts. Standard
Minkowski space can be modelled in this space and its symmetries yield an
embedding of the Poincar\'e group in the infinite extension. The extension has
an interpretation in terms of post-Newtonian corrections to Galilei symmetries.
We also construct particle and string actions that are invariant under these
transformations.