Geometry and Dynamics of Relativistic Particles with Rigidity
نویسنده
چکیده
The simplest models describing spinning particles with rigidity, both massive and massless, are reconsidered. The moduli spaces of solutions are completely exhibited in backgrounds with constant curvature. While spinning massive particles can evolve fully along helices in any three-dimensional background, spinning massless particles need anti De Sitter background to be consistent. The main machinery used to determine those moduli in AdS3 is provided by a pair of natural Hopf mappings. Therefore, Hopf tubes, B-scrolls and specially the Hopf tube constructed on a horocycle in the hyperbolic plane, play a principal role in this program.
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