Counterterms for the Dirichlet Prescription of the AdS/CFT Correspondence

Abstract

We illustrate the Dirichlet prescription of the AdS/CFT correspondence using the example of a massive scalar field and argue that it is the only entirely consistent regularization procedure known so far. Using the Dirichlet prescription, we then calculate the divergent terms for gravity in the cases $d=2,4,6$, which give rise to the Weyl anomaly in the boundary conformal field theory.

arXiv comment10 pages, latex2e, uses amsmath, amssymb packages v2: Reference corrected and one more added

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Cited by in corpus (6)

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• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Energy and the AdS/CFT Correspondence
• The Fefferman-Graham Ambiguity and AdS Black Holes
• Beyond the tree level in the AdS/CFT Correspondence