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Revisiting the Symmetries of Galilean Electrodynamics

2 Pith papers cite this work, alongside 5 external citations. Polarity classification is still indexing.

2 Pith papers citing it
5 external citations · Pith
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.

years

2026 2

representative citing papers

Non-relativistic limits of $\mathcal N=4$ supersymmetric Yang-Mills theory and S-duality

hep-th · 2026-06-19 · unverdicted · novelty 7.0

Constructs a family of non-relativistic limits of 4d MSYM via brane setups that organize into a 3D moduli space with nontrivial topology where PSL(2,Z) dualities act more complexly than in the relativistic theory, establishing Abelian duality by path integral and supporting non-Abelian case via spec

Remarks on Galilean electromagnetism

physics.class-ph · 2026-01-14 · conditional · novelty 4.0

The electric and magnetic nonrelativistic limits of Maxwell's equations with sources are invariant under the ℓ-conformal Galilei group for any half-integer ℓ, and this symmetry permits unphysical accelerating solutions.

citing papers explorer

Showing 2 of 2 citing papers.

  • Non-relativistic limits of $\mathcal N=4$ supersymmetric Yang-Mills theory and S-duality hep-th · 2026-06-19 · unverdicted · none · ref 46 · internal anchor

    Constructs a family of non-relativistic limits of 4d MSYM via brane setups that organize into a 3D moduli space with nontrivial topology where PSL(2,Z) dualities act more complexly than in the relativistic theory, establishing Abelian duality by path integral and supporting non-Abelian case via spec

  • Remarks on Galilean electromagnetism physics.class-ph · 2026-01-14 · conditional · none · ref 16 · internal anchor

    The electric and magnetic nonrelativistic limits of Maxwell's equations with sources are invariant under the ℓ-conformal Galilei group for any half-integer ℓ, and this symmetry permits unphysical accelerating solutions.