Abstract
We develop a method to derive the on-shell invariant quantum action of the simple supergravity in such a way that the quartic ghost interactions term is explicity determined. First, we reinvestigate the simple supergravity in terms of a principal superfiber bundle. This gives rise to the closed geometrical BRST algebra. Therefore we determine the open BRST algebra, which realizes the invariance of the classical action. Then, given a prescription to build the full quantum action, we obtain the quantum BRST algebra. Together with the constructed quantum action this allows us to recover the auxiliary fields and the invariant extension of the classical action.
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