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Mixed three-point functions of conserved currents in three-dimensional superconformal field theory

机译:三维超成形场理论中保守电流的混合三点函数

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We consider mixed three-point correlation functions of the supercurrent and flavor current in three-dimensional 1 ≤ N ≤ 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 [E.?I. Buchbinder et al. J. High Energy Phys. 06 (2015 ) 138], it follows that supersymmetry forbids parity-odd structures in three-point functions involving the supercurrent and flavor current multiplets.
机译:我们考虑了三维1≤n≤4超成形场理论的超电流和风味电流的混合三点相关函数。 我们的方法基于相关张量的分解成不可约成分,以保证所有可能的张量结构都被系统地考虑。 我们表明只有奇偶校验偶数结构出现在相关函数中。 除了在[E.?I中获得的先前结果。 Buchbinder 等。 J.高能量物理。 如图06( 2015)138]所示,超对称禁止涉及超电流和风味电流多重的三点函数中的奇偶谐奇结构。

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