Manenti, AndreaStergiou, AndreasVichi, Alessandro2019-01-232019-01-232019-01-232018-12-1810.1007/JHEP12(2018)108https://infoscience.epfl.ch/handle/20.500.14299/153808WOS:000454145700002In 4d N = 1 superconformal field theories (SCFTs) the R-symmetry current, the stress-energy tensor, and the supersymmetry currents are grouped into a single object, the Ferrara-Zumino multiplet. In this work we study the most general form of three-point functions involving two Ferrara-Zumino multiplets and a third generic multiplet. We solve the constraints imposed by conservation in superspace and show that non-trivial solutions can only be found if the third multiplet is R-neutral and transforms in suitable Lorentz representations. In the process we give a prescription for counting independent tensor structures in superconformal three-point functions. Finally, we set the Grassmann coordinates of the Ferrara-Zumino multiplets to zero and extract all three-point functions involving two R-currents and a third conformal primary. Our results pave the way for bootstrapping the correlation function of four R-currents in 4d N = 1 SCFTs.Physics, Particles & FieldsPhysicsconformal and w symmetryconformal field theorysuperspacesrepresentationssymmetrytext::journal::journal article::research article