期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 327, 期 2, 页码 577-602出版社
SPRINGER
DOI: 10.1007/s00220-014-1983-3
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资金
- INFN
- MIUR-FIRB [RBFR10QS5J]
- MIUR-PRIN [2009-KHZKRX]
- STFC [ST/J002798/1]
- EPSRC [EP/D07150X/3]
- Engineering and Physical Sciences Research Council [EP/D07150X/3] Funding Source: researchfish
- Science and Technology Facilities Council [ST/J002798/1] Funding Source: researchfish
- EPSRC [EP/D07150X/3] Funding Source: UKRI
- STFC [ST/J002798/1] Funding Source: UKRI
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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