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Superspace formulation and correlation functions of 3d superconformal field theories
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abstract
We study $3d$ SCFTs in the superspace formalism and discuss superfields and on-shell higher spin current multiplets in free $3d$ SCFTs with $\mathcal{N}= 1,2,3,4$ and $6$ superconformal symmetry. For $\mathcal{N}=1$ 3d SCFTs we determine the superconformal invariants in superspace needed for constructing 3-point functions of higher spin operators, find the non-linear relations between the invariants and consequently write down all the independent invariant structures, both parity even and odd, for various 3-point functions of higher spin operators.
Forward citations
Cited by 3 Pith papers
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Superspace invariants and 3-point correlators in 3d $\mathcal{N}=3,4$ SCFTs
N=3,4 3d SCFT 3-point spinning correlators are enumerated via superspace invariants; conserved ones fix to 1+1 (N=3) or 2+1 (N=4) structures, the extra even structure tracking mirror breaking.
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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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