Dynamical sectors for a spinning particle in AdS_3
by
Prof.J. Gomis
→
Europe/Rome
Description
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 value 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^2 R^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.
