Extended Non Linear Conformal Symmetry and DSR Velocities on the Physical Surface

Details Extended Non Linear Conformal Symmetry and DSR Velocities on the Physical Surface Extended Non Linear Conformal Symmetry and DSR Velocities on the Physical Surface

2004-10-14

arxiv.org/abs/hep-th/0410159v3

Int.J.Mod.Phys. A21 (2006) 2863-2876

Physics

High Energy Physics

High Energy Physics - Theory

totally renewed

Scientific paper

10.1142/S0217751X06031053

The relation between Conformal generators and Magueijo Smolin Deformed Special Relativity term, added to Lorentz boosts, is achieved. The same is performed for Fock Lorentz transformations. Through a dimensional reduction procedure, it is demonstrated that a massless relativistic particle living in a $d$ dimensional space, is isomorphic to one living in a $d+2$ space with pure Lorentz invariance and to a particle living in a $AdS_{d+1}$ space. To accomplish these identifications, the Conformal Group is extended and a nonlinear algebra arises. Finally, because the relation between momenta and velocities is known, the problem of position space dynamics is solved.

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