Triality of conformal extensions of three kinds of special relativity
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 5d 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.
 Publication:

Physical Review D
 Pub Date:
 January 2007
 DOI:
 10.1103/PhysRevD.75.026006
 arXiv:
 arXiv:hepth/0611047
 Bibcode:
 2007PhRvD..75b6006G
 Keywords:

 11.25.Hf;
 03.30.+p;
 95.30.Sf;
 Conformal field theory algebraic structures;
 Special relativity;
 Relativity and gravitation;
 High Energy Physics  Theory
 EPrint:
 10 pages, no figures, revtex4