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20 April 2024

» arxiv » 2003.7649

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Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields
K. Andrzejewski ; N. Dimakis ; M. Elbistan ; P. A. Horvathy ; P. Kosinski ; P.-M. Zhang ;
Date:	17 Mar 2020
Abstract:	The integrals of the motion associated with conformal Killing vectors of a curved space-time with an additional electromagnetic background are studied for massive particles. They involve a new term which might be non-local. The difficulty disappears for pp-waves, for which explicit, local conserved charges are found. Alternatively, the mass can be taken into account by ’’distorting’’ the conformal Killing vectors. The relation of these non-point symmetries to the charges is analysed both in the Lagrangian and Hamiltonian approaches, as well as in the framework of Eisenhart-Duval lift.
Source:	arXiv, 2003.7649
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