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Mixed three-point functions of conserved currents in three-dimensional superconformal field theory
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abstract
We consider mixed three-point correlation functions of the supercurrent and flavour current in three-dimensional $1 \leq \mathcal{N} \leq 4$ superconformal field theories. Our method is based on the decomposition of the relevant tensors into irreducible components to guarantee that all possible tensor structures are systematically taken into account. We show that only parity even structures appear in the correlation functions. In addition to the previous results obtained in arXiv:1503.04961, it follows that supersymmetry forbids parity odd structures in three-point functions involving the supercurrent and flavour current multiplets.
Forward citations
Cited by 2 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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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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