Supersymmetry in Lorentzian Curved Spaces and Holography |
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Authors: | Davide Cassani Claudius Klare Dario Martelli Alessandro Tomasiello Alberto Zaffaroni |
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Institution: | 1. Department of Mathematics, King’s College London, The Strand, London, WC2R 2LS, UK 2. Dipartimento di Fisica, Università di Milano-Bicocca, 20126, Milano, Italy 3. INFN, Sezione di Milano-Bicocca, 20126, Milano, Italy
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Abstract: | 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. |
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