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Pini, Alessandro; Rodriguez-Gomez, Diego; Schmude, Johannes

Rigid supersymmetry from conformal supergravity in five dimensions. (English) Zbl 1388.83875

J. High Energy Phys. 2015, No. 9, Paper No. 118, 22 p. (2015).
Summary: 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 \(\mathrm{SU}(2)\) 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.

Cited in 9 Documents

MSC:

83E50 Supergravity

Keywords:

supersymmetric gauge theory; field theories in higher dimensions; supergravity models

Software:

Invar; xTensor
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References:

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