Revisiting the Symmetries of Galilean Electrodynamics

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.

12 pages. v2: typos fixed; v3: major changes, the article has been expanded by including the GYM theories; v4: matching published version

References in corpus (8)

• Galilean Conformal Algebras and AdS/CFT
• Galilean Isometries
• Galilean Conformal Electrodynamics
• Galilean Gauge Theories from Null Reductions
• Matrix Theory Reloaded: A BPS Road to Holography
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• Non-Relativistic Holography from AdS${}_5$/CFT${}_4$
• A perturbative approach to the non-relativistic string spectrum

Cited by in corpus (3)

• A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?
• Remarks on Galilean electromagnetism
• Gauge interactions and the Galilean limit