Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2020)029
Keywords
Extended Supersymmetry; Supergravity Models; Superspaces
Categories
Funding
- NSF [PHY-1521099]
- Mitchell Institute for Fundamental Physics and Astronomy
- SERB, Government of India [CRG/2018/002373]
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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 Poincare supergravity are briefly discussed.
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