Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity

Abstract

We find a complete characterization of all the supersymmetric solutions of non-Abelian gauged N=1,d=5 supergravity coupled to vector multiplets and hypermultiplets: the generic forms of the metrics as functions of the scalars and vector fields plus the equations that all these must satisfy. These equations are now a complicated non-linear system and there it seems impossible to produce an algorithm to construct systematically all supersymmetric solutions.

Some references and two comments added

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• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• N=2 Einstein-Yang-Mills' static two-center solutions
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• Black string first order flow in N=2, d=5 abelian gauged supergravity
• Resolution of SU(2) monopole singularities by oxidation
• Non-Abelian bubbles in microstate geometries
• On The Supersymmetric Solutions of D=3 Half-maximal Supergravities
• Non-Abelian black string solutions of N=(2,0),d=6 supergravity
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• The Geometry of Dyonic Instantons in 5-dimensional Supergravity
• On 2-dimensional Kaehler metrics with one holomorphic isometry
• Supersymmetry of the Robinson-Trautman solution
• Killing Spinors -- Beyond Supergravity