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<p>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 <i>d</i> + 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 <i>D</i><sub><i>x</i></sub>. Finally, we comment on how these results fit into the framework of the non-relativistic AdS<sub>5</sub>/CFT<sub>4</sub> correspondence.</p>

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Revisiting the symmetries of Galilean Electrodynamics

  • 期刊论文

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  • 发表日期：

    2025年6月6日

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  • Andrea Fontanella,
  • Juan Miguel Nieto García

摘要

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 Dx. Finally, we comment on how these results fit into the framework of the non-relativistic AdS5/CFT4 correspondence.