On the Role of Boundary Terms in the AdS/CFT Correspondence

Details On the Role of Boundary Terms in the AdS/CFT Correspondence On the Role of Boundary Terms in the AdS/CFT Correspondence

2004-01-21

arxiv.org/abs/hep-th/0401149v2

Nucl.Phys.Proc.Suppl. 127 (2004) 174-178

Physics

High Energy Physics

High Energy Physics - Theory

6 pages. Contribution to the Proceedings of ``Renormalization Group and Anomalies in Gravitation and Cosmology", Ouro Preto, B

Scientific paper

10.1016/S0920-5632(03)02425-3

We consider a scalar field theory on AdS, and show that the usual AdS/CFT prescription is unable to map to the boundary a part of the information arising from the quantization in the bulk. We propose a solution to this problem by defining the energy of the theory in the bulk through the Noether current corresponding to time displacements, and, in addition, by introducing a proper generalized AdS/CFT prescription. We also show how this extended formulation could be used to consistently describe double-trace interactions in the boundary. The formalism is illustrated by focusing on the non-minimally coupled case using Dirichlet boundary conditions.

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