Global geometric properties of AdS space and the AdS / CFT correspondence
نویسندگان
چکیده
The Poisson kernels and relations between them for a massive scalar field in a unit ball B with Hua’s metric and conformal flat metric are obtained by describing the B as a submanifold of an (n+1)-dimensional embedding space. Global geometric properties of the AdS space are discussed. We show that the (n+1)-dimensional AdS space AdSn+1 is isomorphic to RP 1 ×Bn and boundary of the AdS is isomorphic to RP 1 ×Sn−1. Bulk-boundary propagator and the AdS/CFT like correspondence are demonstrated based on these global geometric properties of the RP 1 × B.
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