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2014

Dynamical sectors for a spinning particle in AdS_3

Batlle, Carles, Gomis, Joaquim, Kamimura, Kiyoshi et al.

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We consider the dynamics of the motion of a particle of mass M and spin J in AdS_3.

The study reveals the presence of different dynamical sectors depending on the relative values of M, J and the AdS_3 radius R.
For the subcritical M^2 R^2-J^2 >0 and supercritical M^2 R^2-J^2<0 cases, it is seen that the equations of motion give the geodesics of AdS_3.
For the critical case M^2R^2=J^2 there exist extra gauge transformations which further reduce the physical degrees of freedom, and the motion corresponds to the geodesics of AdS_2.

Dynamical sectors for a spinning particle in AdS_3 · Around

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