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A holographic reduction of Minkowski space-time | | Jan de Boer
; Sergey N. Solodukhin
; | | Date: |
2 Mar 2003 | | Journal: | Nucl.Phys. B665 (2003) 545-593 | | Subject: | High Energy Physics - Theory; Mathematical Physics | hep-th gr-qc hep-ph math-ph math.MP | | Abstract: | 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. | | Source: | arXiv, hep-th/0303006 | | Services: | Forum | Review | PDF | Favorites | |
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