Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings

Abstract

We perform the characterization program for the supersymmetric configurations and solutions of the supergravity theory coupled to an arbitrary number of vectors, tensors and hypermultiplets and with general non-Abelian gaugings. By using the conditions yielded by the characterization program, new exact supersymmetric solutions are found in the SO(4, 1)/SO(4) model for the hyperscalars and with SU(2) × U(1) as the gauge group. The solutions contain also non-trivial vector and massive tensor fields, the latter being charged under the U(1) sector of the gauge group and with self-dual spatial components. These solutions are black holes with AdS2 × S3 near horizon geometry in the gauged version of the theory and for the ungauged case we found naked singularities. We also analyze supersymmetric solutions with only the scalars ϕx of the vector/tensor multiplets and the metric as the non-trivial fields. We find that only in the null class the scalars ϕx can be non-constant and for the case of constant ϕx we refine the classification in terms of the contributions to the scalar potential.