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 do not assume \( \mathcal{N} \) = 2 supersymmetry. We show that the three-point function of two spinor current multiplets and the \( \mathcal{N} \) = 1 supercurrent depends on three independent tensor structures and, in general, is not contained in the three-point function of the \( \mathcal{N} \) = 2 supercurrent. It then follows, based on symmetry considerations only, that the existence of one more Grassmann odd current multiplet in \( \mathcal{N} \) = 1 superconformal field theory does not necessarily imply \( \mathcal{N} \) = 2 superconformal symmetry.

我们考虑\( \mathcal{N} \) = 1 具有额外守恒自旋电流多重态S _{α 的}四维超共形场论，并研究涉及这种算子的三点函数。一个守恒的旋量电流多重态自然存在于具有\( \mathcal{N} \) = 2 超对称性的超共形理论中，并且包含第二个超对称性的电流。然而，我们不假设\( \mathcal{N} \) = 2 超对称。我们表明，两个自旋电流多重峰的三点函数和\( \mathcal{N} \) = 1 超电流取决于三个独立的张量结构，并且通常不包含在三点函数中\( \mathcal{N} \) = 2 超电流。然后，仅基于对称性考虑，在\( \mathcal{N} \) = 1 超共形场论中存在另一个 Grassmann 奇电流多重峰并不一定意味着\( \mathcal{N} \) = 2超共形对称。