Superconformal Ward identities for Green functions with multiple supercurrent insertions

Superconformal Ward identities For N=1 supersymmetric quantum field theorie s in four dimensions are conveniently obtained in the superfield formalism by combining diffeomorphisms and Weyl transformations on curved superspace. Using this approach we study the superconformal transformation properties of Green functions with one or more insertions of the supercurrent to all o rders in perturbation theory. For the case of two insertions we pay particu lar attention to fixing the additional counterterms present, as well as to the purely geometrical anomalies which contribute to the transformation beh aviour. Moreover we show in a scheme-independent way how the quasi-local te rms in the Ward identities are related to similar terms which contribute to the supercurrent two and three point functions. Furthermore we relate our superfield approach to similar studies which use the component formalism by discussing the implications of our approach for the components of the supe rcurrent and of the Supergravity prepotentials. (C) 1999 Academic Press.