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Relation between parity-even and parity-odd CFT correlation functions in three dimensions
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abstract
In this paper we relate the parity-odd part of two and three point correlation functions in theories with exactly conserved or weakly broken higher spin symmetries to the parity-even part which can be computed from free theories. We also comment on higher point functions. The well known connection of CFT correlation functions with de-Sitter amplitudes in one higher dimension implies a relation between parity-even and parity-odd amplitudes calculated using non-minimal interactions such as ${\mathcal W}^3$ and ${\mathcal W}^2 {\widetilde {\mathcal W}}$. In the flat-space limit this implies a relation between parity-even and parity-odd parts of flat-space scattering amplitudes.
Forward citations
Cited by 2 Pith papers
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An Ode to the Penrose and Witten transforms in Twistor space for 3D CFT
The authors show that the infinity twistor must be added to twistor-space invariants to describe general primary operators in 3D CFTs, and they derive the corresponding Penrose, Witten, and super-Penrose transforms.
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Lectures on the Spinor and Twistor Formalism in 3D Conformal Field Theory
Lecture notes recapping off-shell spinor helicity, twistor, and super-twistor methods for 3d CFT correlators, with 55 exercises and no substantial new research result.
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