Quantization in Ads and the Ads/CFT Correspondence

Details Quantization in Ads and the Ads/CFT Correspondence Quantization in Ads and the Ads/CFT Correspondence

2003-01-06

arxiv.org/abs/hep-th/0301025v2

Int.J.Mod.Phys. A18 (2003) 2099-2108

Physics

High Energy Physics

High Energy Physics - Theory

8 pages. Contribution to the Proceedings of the Second Londrina Winter School "Mathematical Methods in Physics", August 25-30,

Scientific paper

10.1142/S0217751X03015544

The quantization of a scalar field in AdS leads to two kinds of normalizable modes, usually called regular and irregular modes. The regular one is easily taken into account in the standard prescription for the AdS/CFT correspondence. The irregular mode requires a modified prescription which we argue is not completely satisfactory. We discuss an alternative quantization in AdS which incorporates boundary terms in a natural way. Within this quantization scheme we present an improved prescription for the AdS/CFT correspondence which can be applied to both, regular and irregular modes. Boundary conditions other than Dirichlet are naturally treated in this new improved setting.

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