Three-point functions of higher-spin spinor current multiplets in N = 1 superconformal theory.

In this paper, we study the general form of three-point functions of conserved current multiplets Sα(k) = S(α1...αk) of arbitrary rank in four-dimensional N = 1 superconformal theory. We find that the correlation function of three such operators S ¯ α ̇ k z 1 S β k + l z 2 S ¯ γ ̇ l z 3 is fixed by the superconformal symmetry up to a single complex coefficient though the precise form of the correlator depends on the values of k and l. In addition, we present the general structure of mixed correlators of the form S ¯ α ̇ k z 1 S α k z 2 L z 3 and S ¯ α ̇ k z 1 S α k z 2 J γ γ ̇ z 3 , where L is the flavour current multiplet and J γ γ ̇ is the supercurrent. [ABSTRACT FROM AUTHOR]