Superspace geometry explains why certain quantum gravity calculations simplify exactly

Equivariant localization lets physicists compute path integrals exactly by reducing them to contributions from special field configurations, but its geometric underpinning in supergravity has been unclear. This work identifies closed superforms as the engine: on supersymmetric backgrounds they automatically generate the equivariantly closed polyforms that localization requires. The authors demonstrate the mechanism explicitly for several multiplets and action principles in four-dimensional N=2 conformal supergravity, recovering and extending known results. The framework is designed to handle higher-derivative theories and holographic applications, where exact results are rare.