2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196096Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local symmetries of AdS_{d+1} space due to the embedding of an AdS_d brane. The resulting action is an SO(2,d) invariant AdS form of the Einstein-Hilbert action, which in addition to the AdS_d gravitational vielbein, also includes a massive vector field localized on the brane. Its long wavelength dynamics is the same as a massive Abelian vector field coupled to gravity in AdS_d space.17 pagesHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext