Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-10
Nucl.Phys. B705 (2005) 437-456
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 19 pages; one section added, 3 references added, typos corrected
Scientific paper
10.1016/j.nuclphysb.2004.10.043
A quantum field theory on Anti-de-Sitter space can be constructed from a conformal field theory on its boundary Minkowski space by an inversion of the holographic mapping. To do this the conformal field theory must satisfy certain constraints. The structure of operator product expansions is carried over to AdS space. We show that this method yields a higher spin field theory HS(4) from the minimal conformal O(N) sigma model in three dimensions. For these models AdS/CFT correspondence is hereby proved to second order in the coupling constant.
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