Conformal triality of de sitter, Minkowski and anti-de Sitter spaces

被引：0

作者：

Zhou, Bin ^{[1
]}

Guo, Han-Ying ^{[2
]}

机构：

[1] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China

[2] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND PHYSICS | 2006年 / 10卷

关键词：

D O I：

10.1142/9789812772527_0047

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe how conformal Minkowski, dS- and AdS-spaces can be united into a single submanifold [N] of RP5. It is the set of generators of the null cone in M-2,M-4. Conformal transformations on the Mink-, dS- and AdS-spaces are induced by O(2, 4) linear transformations on M-2,M-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.

引用

页码：503 / +

页数：2

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