Exact solutions in 5d gauged supergravity: static supersymmetric solutions and new geometries

We present new approaches to constructing supersymmetric solutions in 5d gauged supergravity. Firstly, a geometric approach involves identifying new classes of Kahler spaces, which are key building blocks of supersymmetric 5d solutions. These new classes possess hidden symmetries that simplify supersymmetry conditions, and thus allow for deeper analysis. Secondly, we explore the space of static supersymmetric solutions and find several families of Euclidean solutions that may have interpretation on the CFT side.