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

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arxiv 0705.2567 v4 pith:32GMCZRH submitted 2007-05-17 hep-th

classification hep-th
keywords solutionssupersymmetriccharacterizationequationsgaugedsupergravityvectoralgorithm
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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    Killing (super)algebras on generalised spin manifolds are filtered subdeformations of the R-symmetry-extended Poincaré superalgebra, classified by Spencer cohomology in the highly supersymmetric Lorentzian case and us...

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