All the supersymmetric solutions of N=1,d=5 ungauged supergravity

TL;DR

This paper classifies all supersymmetric solutions in ungauged N=1, d=5 supergravity, revealing how hyperscalars deform known solutions like black holes and enabling uplift to four-dimensional solutions.

Contribution

It provides a complete classification of supersymmetric solutions in N=1, d=5 supergravity with vector and hypermultiplets, including explicit deformations and uplift formulas.

Findings

Deformation of Reissner-Nordstrom black hole with hyperscalars

Solutions with one extra isometry reducible to N=2, d=4 solutions

Formulas for uplifting 4D black holes to 5D black holes or pp-waves

Abstract

We classify the supersymmetric solutions of ungauged N=1 d=5 SUGRA coupled to vector multiplets and hypermultiplets. All the solutions can be seen as deformations of solutions with frozen hyperscalars. We show explicitly how the 5-dimensional Reissner-Nordstrom black hole is deformed when hyperscalars are living on SO(4,1)/SO(4) are turned on, reducing its supersymmetry from 1/2 to 1/8. We also describe in the timelike and null cases the solutions that have one extra isometry and can be reduced to N=2,d=4 solutions. Our formulae allows the uplifting of certain N=2,d=4 black holes to N=1,d=5 black holes on KK monopoles or to pp-waves propagating along black strings.