The Dirichlet Obstruction in AdS/CFT

Details The Dirichlet Obstruction in AdS/CFT The Dirichlet Obstruction in AdS/CFT

2003-03-19

arxiv.org/abs/hep-th/0303164v2

Int.J.Mod.Phys. D12 (2003) 1415-1430

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, references added (this paper supersedes hep-th/0206140, "A Note on the Bach Tensor in AdS/CFT", which has been withd

Scientific paper

10.1142/S0218271803003839

The obstruction for a perturbative reconstruction of the five-dimensional
bulk metric starting from the four-dimensional metric at the boundary,that is,
the Dirichlet problem, is computed in dimensions $6\leq d\leq 10$ and some
comments are made on its general structure and, in particular, on its
relationship with the conformal anomaly, which we compute in dimension $d=8$.

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