On the role of boundary terms in the AdS/CFT correspondence

✍ Scribed by Pablo Minces

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 468 KB
• Volume: 127
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/s0920-5632(03)02425-3

✦ Synopsis

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.

P Minces/Nuclear

Physics B (proc. Suppl.) 127 ( 2004) 174-I 78