Counterterms for the Dirichlet Prescription of the AdS/CFT Correspondence

Details Counterterms for the Dirichlet Prescription of the AdS/CFT Correspondence Counterterms for the Dirichlet Prescription of the AdS/CFT Correspondence

1999-05-06

arxiv.org/abs/hep-th/9905046v2

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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