General matter coupled N=2 , D=5 gauged supergravity

We give the full Lagrangean and supersymmetry transformation rules for D=5 , N=2 supergravity interacting with an arbitrary number of vector, tensor and hyper-multiplets, with gauging of the R -symmetry group SU(2)R as well as a subgroup K of the isometries of the scalar manifold. Among the many possible applications, this theory provides the setting where a supersymmetric brane-world scenario could occur. We comment on the presence of AdS vacua and BPS solutions that would be relevant towards a supersymmetric smooth realization of the Randall–Sundrum “alternative to compactification”. We also add some remarks on the connection between this most general 5D fully coupled supergravity model and type IIB theory on the T11 manifold.