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Lifting a conformal field theory from d-dimensional flat space to (d+1)-dimensional AdS space |
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| Institution: | 2. PRESTO, Japan Science and Technology Agency, Kawaguchi, Japan;3. Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Japan;4. CREST, Japan Science and Technology Agency, Sanbancho, Tokyo, Japan;5. WPI Advanced Institute for Materials Research, Tohoku University, Sendai, Japan |
| Abstract: | 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. The resulting theory is defined by its Green functions and is conformally covariant. 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. |
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