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arxiv: hep-th/0306235 · v2 · pith:CIBEDCKSnew · submitted 2003-06-25 · ✦ hep-th

All supersymmetric solutions of minimal supergravity in six dimensions

classification ✦ hep-th
keywords supersymmetricsolutionsdimensionsgeneralminimalsolutionsupergravityapplication
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A general form for all supersymmetric solutions of minimal supergravity in six dimensions is obtained. Examples of new supersymmetric solutions are presented. It is proven that the only maximally supersymmetric solutions are flat space, AdS_3 x S^3 and a plane wave. As an application of the general solution, it is shown that any supersymmetric solution with a compact horizon must have near-horizon geometry R^{1,1} x T^4, R^{1,1} x K3 or identified AdS_3 x S^3.

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  1. Only Flat Spacetime is Full BPS in Four Dimensional N=3 and N=4 Supergravity

    hep-th 2025-05 unverdicted novelty 6.0

    Flat spacetime is the only fully supersymmetric solution in four-dimensional N=3 and N=4 higher derivative Poincaré supergravity, unlike N=2 where Bertotti-Robinson geometry also qualifies.