论文标题

与外部电磁场的PP波中运动的共形对称性和积分

Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields

论文作者

Andrzejewski, K., Dimakis, N., Elbistan, M., Horvathy, P. A., Kosinski, P., Zhang, P. -M.

论文摘要

研究了与弯曲时空的共形杀伤向量有关的运动积分,并研究了额外的电磁背景的巨大颗粒。它们涉及一个可能是非本地的新术语。对于PP波的困难消失了,为此发现了明确的局部保守费用。或者,可以通过“扭曲”形杀载体来考虑质量。这些非点对称性与指控的关系在拉格朗日式和汉密尔顿的方法以及艾森哈特·杜升升降的框架中都进行了分析。

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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