Double copy structure of CFT correlators. (English) Zbl 1411.81176
Summary: We consider the momentum-space 3-point correlators of currents, stress tensors and marginal scalar operators in general odd-dimensional conformal field theories. We show that the flat space limit of these correlators is spanned by gauge and gravitational scattering amplitudes in one higher dimension which are related by a double copy. Moreover, we recast three-dimensional CFT correlators in terms of tree-level Feynman diagrams without energy conservation, suggesting double copy structure beyond the flat space limit.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 62P35 | Applications of statistics to physics |
| 81U20 | \(S\)-matrix theory, etc. in quantum theory |
| 81T18 | Feynman diagrams |
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