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arXiv · gr-qc/0405149

Conformal Generators and Doubly Special Relativity Theories

Carlos Leiva
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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 $R^{2,d}$.

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Carlos Leiva. 2004-09-22. Conformal Generators and Doubly Special Relativity Theories. https://doi.org/10.1142/s0217732305015884

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