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arXiv · 2003.07649

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
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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.

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K. Andrzejewski, N. Dimakis, M. Elbistan, P. A. Horvathy, P. Kosinski, P. -M. Zhang. 2020-03-17. Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields. https://doi.org/10.1016/j.aop.2020.168180

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