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.
Classification of maximally supersymmetric backgrounds in supergravity theories
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abstract
We study maximally supersymmetric solutions of all gauged or deformed supergravity theories in $D \ge 3$ space-time dimensions. For vanishing background fluxes the space-time background has to be either Minkowski or anti-de Sitter. We derive a simple criterion for the existence of solutions with non-trivial fluxes and determine all supergravities that satisfy it. We show that their solutions coincide with those of the corresponding ungauged theories and conclude that the known list of maximally supersymmetric solutions is exhaustive.
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Numerical confirmation of the attractor mechanism and 1/4 supersymmetry preservation for generic dyonic extremal black holes in pure N=4 supergravity.
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Only Flat Spacetime is Full BPS in Four Dimensional N=3 and N=4 Supergravity
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.
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Supersymmetry and Attractors in N = 4 Supergravity
Numerical confirmation of the attractor mechanism and 1/4 supersymmetry preservation for generic dyonic extremal black holes in pure N=4 supergravity.