Conformal Generators and Doubly Special Relativity Theories

Details Conformal Generators and Doubly Special Relativity Theories Conformal Generators and Doubly Special Relativity Theories

2004-05-31

arxiv.org/abs/gr-qc/0405149v3

Mod.Phys.Lett. A20 (2005) 861-867

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, equation 15 corrected

Scientific paper

10.1142/S0217732305015884

In this paper, the relation between the modified Lorenz boosts, proposed in the doubly relativity theories and a linear combination of Conformal Group generators in $R^{1,d-1}$ is investigated. The introduction of a new generator is proposed in order to deform the Conformal Group to achieve the connection conjectured. The new generator is obtained trough a formal dimensional reduction from a free massless particle living in a $R^{2,d}$ space. Due this treatment it is possible to say that even DSR theories modify light cone structure in $R^{1,d-1}$, it could remains, in some cases, untouched in $R^{2,d}$.

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