Completing the square to find the supersymmetric matter effective action induced by coupling to linearized \(N=1\) supergravity (Q5943770)

The author considers an interesting possibility that supergravity coupling may trigger dynamical symmetry breaking in supersymmetric gauge theory. The aim of the paper is: (a) to carry out the first technical step needed in a study of how supergravity coupling affects dynamical symmetry breaking in supersymmetric matter theories, by integrating out the supergravity dynamics to leading order to give a supersymmetric effective matter action, which incorporates the effects of the supergravity couplings; (b) to give a summary of formulas for the supersymmetry transformation properties of the components of current supermultiplet and their transformation properties in the basic supersymmetric matter models; (c) to give a detailed account of the method, which permits a self-contained construction of the supergravity induced effective action without ever having to commit to a gauge fixing, as would be necessary in calculating propagators.