N=4 conformal supergravity: the complete actions

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 Poincaré supergravity are briefly discussed.

v2: 44 pages, supplementary file added to ancillary files

References in corpus (28)

• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Corrections to macroscopic supersymmetric black-hole entropy
• A field-theory motivated approach to symbolic computer algebra
• The Ultraviolet Properties of N=4 Supergravity at Four Loops
• (N,p,q) Harmonic Superspace
• Quantum black holes, localization and the topological string
• N=1 Conformal Superspace in Four Dimensions
• Dyon Spectrum in CHL Models
• Component Actions from Curved Superspace: Normal Coordinates and Ectoplasm
• On the U(1) duality anomaly and the S-matrix of N=4 supergravity
• N=2 Conformal Superspace in Four Dimensions
• Conformal supergravity in three dimensions: Off-shell actions
• Counterterms vs. Dualities
• (2,0) Tensor Multiplets and Conformal Supergravity in D=6
• Invariants for minimal conformal supergravity in six dimensions
• Construction of all N=4 conformal supergravities
• N=6 superconformal gravity in three dimensions from superspace
• The component structure of conformal supergravity invariants in six dimensions
• Anomalies and divergences in N=4 supergravity
• Invariants and divergences in half-maximal supergravity theories
• N=6 conformal supergravity in three dimensions
• On Maximal Massive 3D Supergravity
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• "Induced" N=4 conformal supergravity
• Supersymmetry algebra cohomology III: Primitive elements in four and five dimensions
• Towards the full N=4 conformal supergravity action
• Comment on "The N = 3 Weyl Multiplet in Four Dimensions"

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• Higher Derivative Supergravities in Diverse Dimensions
• Extended superconformal higher-spin gauge theories in four dimensions
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
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• New locally (super)conformal gauge models in Bach-flat backgrounds
• N = 3 Conformal Supergravity in Four Dimensions
• Unified non-metric (1,0) tensor-Einstein supergravity theories and (4,0) supergravity in six dimensions
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• The anti-de Sitter supergeometry revisited
• Higher derivative invariants in four dimensional N=3 Poincare supergravity
• N=2 conformal supergravity in five dimensions
• Torus reduction of maximal conformal supergravity
• Dilaton Weyl multiplets for $N=3$ conformal supergravity in four dimensions
• Weyl invariance, non-compact duality and conformal higher-derivative sigma models
• Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
• Only Flat Spacetime is Full BPS in Four Dimensional N=3 and N=4 Supergravity
• Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants
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