Wednesday, July 11, 2012

1207.2181 (Davide Cassani et al.)

Supersymmetry in Lorentzian Curved Spaces and Holography    [PDF]

Davide Cassani, Claudius Klare, Dario Martelli, Alessandro Tomasiello, Alberto Zaffaroni
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 with an R-symmetry, this vector field is further restricted to be Killing. We demonstrate how these results agree with the existing classification of supersymmetric solutions of minimal gauged supergravity in five dimensions.
View original: http://arxiv.org/abs/1207.2181

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