Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-01-29
Annals Phys. 307 (2003) 372-391
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, typos corrected, refs and note added
Scientific paper
10.1016/S0003-4916(03)00118-0
The nonlinear realization of conformal so(2,d) symmetry for relativistic systems and the dynamical conformal so(2,1) symmetry of nonrelativistic systems are investigated in the context of AdS/CFT correspondence. We show that the massless particle in d-dimensional Minkowski space can be treated as the system confined to the border of the AdS_{d+1} of infinite radius, while various nonrelativistic systems may be canonically related to a relativistic (massless, massive, or tachyon) particle on the AdS_2 X S^{d-1}. The list of nonrelativistic systems "unified" by such a correspondence comprises the conformal mechanics model, the planar charge-vortex and 3-dimensional charge-monopole systems, the particle in a planar gravitational field of a point massive source, and the conformal model associated with the charged particle propagating near the horizon of the extreme Reissner-Nordstrom black hole.
Leiva Carlos
Plyushchay Mikhail S.
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