Abstract
We present an action of ultra-relativistic electrodynamics on a flat Carroll manifold. The model exhibits a couple of physical degrees of freedom per space-point. We observe that the action of the conformal Carroll algebra on the phase space is Hamiltonian in 4 space-time dimensions. Moreover the elements of the algebra give rise to an infinite number of conserved charges and the charge algebra is an exact realization of the kinematical algebra.
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Basu, R., Chowdhury, U.N. Dynamical structure of Carrollian Electrodynamics. J. High Energ. Phys. 2018, 111 (2018). https://doi.org/10.1007/JHEP04(2018)111
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DOI: https://doi.org/10.1007/JHEP04(2018)111