Conformal Triality of de Sitter, Minkowski and Anti-de Sitter Spaces
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0512235,
title = {Conformal Triality of de Sitter, Minkowski and Anti-de Sitter Spaces},
author = {Bin Zhou and Han-Ying Guo},
journal= {arXiv preprint arXiv:hep-th/0512235},
year = {2007}
}
Comments
Talk on the XXIII International Conference of Differential Geometric Methods in Theoretical Physics, Chern Institute of Mathematics (former Nankai Institute of Mathematics), August 20--26, 2005. To appear in the proceedings, published by World Scientific. Plain LaTeX, 10 pages, no figures