Killing spinors in supergravity with 4-fluxes

@article{Agricola2003KillingSI,
  title={Killing spinors in supergravity with 4-fluxes},
  author={Ilka Agricola and Thomas Friedrich},
  journal={Classical and Quantum Gravity},
  year={2003},
  volume={20},
  pages={4707-4717}
}
We study the spinorial Killing equation of supergravity involving a torsion 3-form T as well as a flux 4-form F. In dimension seven, we construct explicit families of compact solutions out of 3-Sasakian geometries, nearly parallel G2-geometries and on the homogeneous Aloff–Wallach space. The constraint F Ψ = 0 defines a non-empty subfamily of solutions. We investigate the constraint T Ψ = 0, too, and show that it singles out a very special choice of numerical parameters in the Killing equation… 

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