Supersymmetry in Lorentzian Curved Spaces and Holography

@article{Cassani2014SupersymmetryIL,
  title={Supersymmetry in Lorentzian Curved Spaces and Holography},
  author={Davide A. D. Cassani and Claudius Klare and Dario Martelli and Alessandro Tomasiello and Alberto Zaffaroni},
  journal={Communications in Mathematical Physics},
  year={2014},
  volume={327},
  pages={577-602}
}
We consider superconformal and supersymmetric field theories on four-dimensional Lorentzian curved space-times, and their five-dimensional holographic duals. As in the Euclidean signature case, preserved supersymmetry for a superconformal theory is equivalent to the existence of a charged conformal Killing spinor. Differently from the Euclidean case, we show that the existence of such spinors is equivalent to the existence of a null conformal Killing vector. For a supersymmetric field theory… 
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