Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-03-02
Nucl.Phys. B665 (2003) 545-593
Physics
High Energy Physics
High Energy Physics - Theory
47 pages, latex, 2 figures; v2: discussion of translations added, final version to appear in Nucl.Phys. B
Scientific paper
10.1016/S0550-3213(03)00494-2
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.
Boer Jan de
Solodukhin Sergey N.
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