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

Pablo Minces
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Abstract

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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Pablo Minces. 2004-01-23. On the Role of Boundary Terms in the AdS/CFT Correspondence. https://doi.org/10.1016/s0920-5632(03)02425-3

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