English

The Dirichlet Obstruction in AdS/CFT

High Energy Physics - Theory 2009-11-10 v2

Abstract

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 6d106\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=8d=8.

Keywords

Cite

@article{arxiv.hep-th/0303164,
  title  = {The Dirichlet Obstruction in AdS/CFT},
  author = {Enrique Alvarez and Jorge Conde and Lorenzo Hernandez},
  journal= {arXiv preprint arXiv:hep-th/0303164},
  year   = {2009}
}

Comments

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pages, references added (this paper supersedes hep-th/0206140, "A Note on the Bach Tensor in AdS/CFT", which has been withdrawn)

R2 v1 2026-07-22T15:16:14.019Z