General Supersymmetric Solutions of Five-Dimensional Supergravity
Jan B. Gutowski, Wafic Sabra
TL;DR
The work delivers a complete classification of one-quarter supersymmetric solutions in five-dimensional N=2 gauged supergravity with vector multiplets, using the Killing spinor bilinear approach to derive necessary and sufficient conditions. It separates the analysis into timelike and null cases, yielding a Kähler base geometry for timelike solutions and plane-wave–like geometries for null solutions, with explicit constructions including F^I = 0 and magnetic-null configurations, and it discusses ungauged limits in detail. By tying the solutions to harmonic data and Liouville-type equations, the paper provides a structured framework for generating and understanding supersymmetric AdS backgrounds and potential black ring configurations in five dimensions. The results have implications for holographic descriptions of less-than-maximal supersymmetric field theories and set the stage for exploring enhanced supersymmetry and regular AdS black rings within gauged supergravity.
Abstract
The classification of 1/4-supersymmetric solutions of five dimensional gauged supergravity coupled to arbitrary many abelian vector multiplets, which was initiated in hep-th/0401129, is completed. The structure of all solutions for which the Killing vector constructed from the Killing spinor is null is investigated in both the gauged and the ungauged theories and some new solutions are constructed.