2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51088We present here a detailed analysis of the local symmetries of supergravity in an arbitrary dimension D, both in the component and superfield approaches, using a field-space democracy point of view. As an application, we discuss briefly how a complete description of the local gauge symmetries clarifies the properties of the supergravity-superbrane coupled system in the standard background superfield approximation for supergravity.12 pages, espcrc2 style, to appear in the Proc. of the Dubna-Wroclaw XVI-th Max Born SymposiumHigh Energy Physics - TheoryOn the local symmetries of gravity and supergravity modelstext