Conformal Generators and Doubly Special Relativity Theories

Abstract

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 $R^{2,d}$.

7 pages, equation 15 corrected

References in corpus (6)

• Lorentz invariance with an invariant energy scale
• A time varying speed of light as a solution to cosmological puzzles
• Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-$\gamma$ paradoxes
• Conformal Symmetry of Relativistic and Nonrelativistic Systems and AdS/CFT Correspondence
• Superconformal mechanics and nonlinear supersymmetry
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Cited by in corpus (3)

• Doubly Special Relativity in Position Space Starting from the Conformal Group
• Generalized commutation relations and Non linear momenta theories, a close relationship
• A Projective Interpretation of Some Doubly Special Relativity Theories