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N=4 conformal supergravity: the complete actions

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arxiv 1910.11874 v2 pith:RMQNL24E submitted 2019-10-25 hep-th

Daniel Butter , Franz Ciceri , Bindusar Sahoo This is my paper · ORCID
classification hep-th
keywords actionssupergravityconformalcompletedensityfieldsformulaaction
verification ladder T0 review T1 audit T2 compute T3 formal
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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 [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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace

    hep-th 2025-06 conditional novelty 8.0 of 10

    A new off-shell 6D N=(2,0) conformal superspace is constructed, and its unique Bach tensor superfield is derived up to overall scaling.

  2. Supersymmetry and Attractors in N = 4 Supergravity: The Superconformal Approach

    hep-th 2026-03 unverdicted novelty 5.5 of 10

    Numerical confirmation of the attractor mechanism and 1/4 supersymmetry preservation for generic dyonic extremal black holes in pure N=4 supergravity.

  3. Nonlinear self-duality for arbitrary spin, superspin, and supersymmetry type

    hep-th 2026-02 conditional novelty 4.0 of 10

    Every U(1) duality-invariant (super)conformal gauge theory of arbitrary (super)spin obeys a universal self-duality equation, is Legendre self-dual, and (for spin > 1) lives only on conformally flat backgrounds.

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