Conformal Triality of De Sitter, Minkowski and Anti-de Sitter Spaces
نویسنده
چکیده
We describe how conformal Minkowski, dSand AdS-spaces can be united into a single submanifold [N ] of RP . It is the set of generators of the null cone in M. Conformal transformations on the Mink-, dSand AdS-spaces are induced by O(2, 4) linear transformations on M. 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-, dSand 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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