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N = 4 conformal supergravity: the complete actions

A bstract 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 [ 1 ]. Here we provide the complete actions to all orders...

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Bibliographic Details
Published in:The journal of high energy physics 2020-01, Vol.2020 (1)
Main Authors: Butter, Daniel, Ciceri, Franz, Sahoo, Bindusar
Format: Article
Language:English
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Summary:A bstract 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 [ 1 ]. 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 Poincaré supergravity are briefly discussed.
ISSN:1029-8479
DOI:10.1007/JHEP01(2020)029