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

TL;DR

This paper classifies supersymmetric solutions in five-dimensional gauged supergravity with matter, discovering new black hole solutions with specific near-horizon geometries and analyzing scalar configurations.

Contribution

It provides a comprehensive characterization of supersymmetric solutions with general matter couplings and gaugings, including new exact black hole solutions with non-trivial vector and tensor fields.

Findings

Found new supersymmetric black hole solutions with $AdS_2 imes S^3$ near horizon geometry.

Identified conditions under which scalars are non-constant in null class solutions.

Classified solutions based on scalar potential contributions and scalar field configurations.

Abstract

We perform the characterization program for the supersymmetric configurations and solutions of the $\mathcal{N}=1$, $d=5$ Supergravity Theory coupled to an arbitrary number of vectors, tensors and hypermultiplets and with general non-Abelian gaugins. 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 $SU(2)\times U(1)$ as the gauge group. The solutions also content non-trivial vector and massive tensor fields, the latter being charged under the U(1) sector of the gauge group and with selfdual spatial components. These solutions are black holes with $AdS_2 \times S^3$ 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 $\phi^x$ of the vector/tensor multiplets and the metric as the non-trivial fields. We find that only in the null class the scalars $\phi^x$ can be non-constant and for the case of constant $\phi^x$ we refine the classification in terms of the contributions to the scalar potential.