Revisiting the symmetries of Galilean Electrodynamics

A bstract We determine the symmetries of four different theories: I) Galilean Electrodynamics (GED), II) GED coupled to 5 free static scalar fields, III) Galilean Yang-Mills (GYM), and IV) GYM coupled to 5 interacting scalar fields. We correct some old results in the literature, by finding that the symmetries of GED in a spacetime of generic dimension d + 1 is always infinite dimensional, and in 3 + 1 they correspond to the conformal Milne algebra extended by a spatial dilatation generator, which we call D x . Finally, we comment on how these results fit into the framework of the non-relativistic AdS 5 /CFT 4 correspondence.