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The Triality of Conformal Extensions of Three Kinds of Special Relativity

Han-Ying Guo·Bin Zhou·Yu Tian·Zhan Xu
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Abstract

The conformal extensions of three kinds of special relativity with ISO(1,3)/SO(1,4)/SO(2,3) invariance on Mink/dS/AdS space, respectively, are realized on an SO(2,4)/Z_2 invariant projective null cone [N] as the (projective) boundary of the 5-d AdS-space. The relations among the conformal Mink/dS/AdS spaces, the motions of light signals and the conformal field theories on them can be given. Thus, there should be a triality for these conformal issues and the conjectured AdS/CFT correspondence.

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Han-Ying Guo, Bin Zhou, Yu Tian, Zhan Xu. 2007-02-08. The Triality of Conformal Extensions of Three Kinds of Special Relativity. https://doi.org/10.1103/physrevd.75.026006

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