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Three-point functions of conserved supercurrents in 3D <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> SCFT: General formalism for arbitrary superspins
We analyze the general structure of the three-point functions of conserved higher-spin supercurrents in 3D, $\mathcal{N}=1$ superconformal field theory. It is shown that supersymmetry imposes additional restrictions on correlation functions of conserved higher-spin currents. We develop a manifestly supersymmetric formalism to compute the three-point function $⟨{\mathbf{J}}_{{s}_{1}}{\mathbf{J}}_{{s}_{2}}^{\ensuremath{'}}{\mathbf{J}}_{{s}_{3}}^{\ensuremath{'}\ensuremath{'}}⟩$, where ${\mathbf{J}}_{{s}_{1}}$, ${\mathbf{J}}_{{s}_{2}}^{\ensuremath{'}}$, and …