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arXiv · 2411.19217

Revisiting the Symmetries of Galilean Electrodynamics

Andrea Fontanella·Juan Miguel Nieto García
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Abstract

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.

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Andrea Fontanella, Juan Miguel Nieto García. 2024-11-28. Revisiting the Symmetries of Galilean Electrodynamics. https://doi.org/10.1007/jhep06(2025)058

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