Conformal Triality of de Sitter, Minkowski and Anti-de Sitter Spaces

Details Conformal Triality of de Sitter, Minkowski and Anti-de Sitter Spaces Conformal Triality of de Sitter, Minkowski and Anti-de Sitter Spaces

2005-12-19

arxiv.org/abs/hep-th/0512235v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk on the XXIII International Conference of Differential Geometric Methods in Theoretical Physics, Chern Institute of Mathem

Scientific paper

We describe how conformal Minkowski, dS- and AdS-spaces can be united into a single submanifold [N] of RP^5. It is the set of generators of the null cone in M^{2,4}. Conformal transformations on the Mink-, dS- and AdS-spaces are induced by O(2,4) linear transformations on M^{2,4}. We also describe how Weyl transformations and conformal transformations can be resulted in on [N]. In such a picture we give a description of how the conformal Mink-, dS- and AdS-spaces as well as [N] are mapped from one to another by conformal maps. This implies that a CFT in one space can be translated into a CFT in another. As a consequence, the AdS/CFT-correspondence should be extended.

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