2003/03/31 by Enrique Alvarez, Enrique Alarcón Álvarez, Jorge Conde +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Anomaly (physics) #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Conformal map #Dimension (graph theory) #Dirichlet boundary condition #Dirichlet distribution #Geometric Analysis and Curvature Flows #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #hep-th
paper · pdf · doi:10.1142/s0218271803003839
published as Int.J.Mod.Phys. D12 (2003) 1415-1430 · 13 pages, references added (this paper supersedes hep-th/0206140, "A Note on the Bach Tensor in AdS/CFT", which has been withdrawn)
openalex publication_date 2003/09/01 · arxiv created 2004/05/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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≤d≤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.