Abstract
We study the rigid limit of 5d conformal supergravity with minimal supersymmetry on Riemannian manifolds. The necessary and sufficient condition for the existence of a solution is the existence of a conformal Killing vector. Whenever a certain SU(2) curvature becomes abelian the backgrounds define a transversally holomorphic foliation. Subsequently we turn to the question under which circumstances these backgrounds admit a kinetic Yang-Mills term in the action of a vector multiplet. Here we find that the conformal Killing vector has to be Killing. We supplement the discussion with various appendices.
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ArXiv ePrint: 1504.04340
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Pini, A., Rodriguez-Gomez, D. & Schmude, J. Rigid supersymmetry from conformal supergravity in five dimensions. J. High Energ. Phys. 2015, 118 (2015). https://doi.org/10.1007/JHEP09(2015)118
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DOI: https://doi.org/10.1007/JHEP09(2015)118