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Counterterms for the Dirichlet Prescription of the AdS/CFT Correspondence

1999/05/06 by W. Mueck, Mueck, W., K. S. Viswanathan +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9905046

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

arxiv created 1999/05/10 · arxiv updated 2009/11/30

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.

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