2003/03/31 by Jan de Boer, Jan de Boer, Sergey N. Solodukhin · 10 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Anti-de Sitter space #Black Holes and Theoretical Physics #Boundary (topology) #Conformal field theory #Conformal map #De Sitter space #Euclidean geometry #Euclidean space #Field (mathematics) #Minkowski space #Minkowski's theorem #Noncommutative and Quantum Gravity Theories #gr-qc #hep-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/s0550-3213(03)00494-2
published as Nucl.Phys. B665 (2003) 545-593 · 47 pages, latex, 2 figures; v2: discussion of translations added, final version to appear in Nucl.Phys. B
arxiv created 2003/06/16 · openalex publication_date 2003/07/31 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Minkowski space can be sliced, outside the lightcone, in terms of Euclidean Anti-de Sitter and Lorentzian de Sitter slices. In this paper we investigate what happens when we apply holography to each slice separately. This yields a dual description living on two spheres, which can be interpreted as the boundary of the light cone. The infinite number of slices gives rise to a continuum family of operators on the two spheres for each separate bulk field. For a free field we explain how the Green's function and (trivial) S-matrix in Minkowski space can be reconstructed in terms of two-point functions of some putative conformal field theory on the two spheres. Based on this we propose a Minkowski/CFT correspondence which can also be applied to interacting fields. We comment on the interpretation of the conformal symmetry of the CFT, and on generalizations to curved space.