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arXiv · 1910.11874

N=4 conformal supergravity: the complete actions

Daniel Butter·Franz Ciceri·Bindusar Sahoo
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Abstract

The most general class of 4D N=4 conformal supergravity actions depends on a holomorphic function of the scalar fields that parametrize an SU(1,1)/U(1) coset space. The bosonic sector of these actions was presented in a letter [arXiv:1609.09083]. Here we provide the complete actions to all orders in the fermion fields. They rely upon a new N=4 density formula, which permits a direct but involved construction. This density formula also recovers the on-shell action for vector multiplets coupled to conformal supergravity. Applications of these results in the context of Poincar\'e supergravity are briefly discussed.

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Daniel Butter, Franz Ciceri, Bindusar Sahoo. 2019-10-25. N=4 conformal supergravity: the complete actions. https://doi.org/10.1007/jhep01(2020)029

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