ar X iv : h ep - t h / 94 11 16 2 v 1 2 2 N ov 1 99 4 Anti - de Sitter spinning particle and two - sphere

نویسنده

  • A. A. Sharapov
چکیده

We propose the action of d = 4 Anti-de Sitter (AdS) spinning particle with arbitrary fixed quantum numbers. Regardless of the spin value, the configuration space is M4ρ × S 2 where M4ρ is d = 4 AdS space, and two-dimensional sphere S corresponds to spinning degrees of freedom. The model is an AdS counterpart of the massive spinning particle in the Minkowski space proposed earlier. Being AdS-invariant, the model possesses two gauge symmetries implying identical conservation law for AdS-counterparts of mass and spin. Two equivalent forms of the action functional, minimal and manifestly covariant, are given.

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We discuss the relativistic top theory from the point of view of the de Sitter (or anti de Sitter) group. Our treatment rests on Hanson-Regge’s spherical relativistic top lagrangian formulation. We propose an alternative method for studying spinning objects via Kaluza-Klein theory. In particular, we derive the relativistic top equations of motion starting with the geodesic equation for a point ...

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تاریخ انتشار 1994