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Correlation functions of spinor current multiplets in $$ \mathcal{N} $$ = 1 superconformal theory

Correlation functions of spinor current multiplets in $$ \mathcal{N} $$ = 1 superconformal theory

We consider ${\mathcal N}=1$ superconformal field theories in four dimensions possessing an additional conserved spinor current multiplet $S_α$ and study three-point functions involving such an operator. A conserved spinor current multiplet naturally exists in superconformal theories with ${\mathcal N}=2$ supersymmetry and contains the current of the second supersymmetry. However, we …