Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity

Abstract

We define a new dilaton Weyl multiplet of $\mathcal{N}=2$ conformal supergravity in four dimensions. This is constructed by reinterpreting the equations of motion of an on-shell hypermultiplet as constraints that render some of the fields of the standard Weyl multiplet composite. The independent bosonic components include four scalar fields and a triplet of gauge two-forms. The resulting, so-called, hyper-dilaton Weyl multiplet defines a $24+24$ off-shell representation of the local $\mathcal{N}=2$ superconformal algebra. By coupling the hyper-dilaton Weyl multiplet to an off-shell vector multiplet compensator, we obtain one of the two minimal $32+32$ off-shell multiplets of $\mathcal{N}=2$ Poincaré supergravity constructed by Müller in 1986. On-shell, this contains the minimal $\mathcal{N}=2$ Poincaré supergravity multiplet together with a hypermultiplet where one of its physical scalars plays the role of a dilaton, while its three other scalars are dualised to a triplet of real gauge two-forms. Interestingly, a $BF$-coupling induces a scalar potential for the dilaton without a standard gauging.

v3: typo corrected in eq. (2.33)

References in corpus (56)

• Localization techniques in quantum field theories
• Corrections to macroscopic supersymmetric black-hole entropy
• Partial breaking of global D=4 supersymmetry, constrained superfields, and 3-brane actions
• N=2 supergravity in five dimensions revisited
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Superconformal Tensor Calculus in Five Dimensions
• Gauged Supergravities
• Superconformal Hypermultiplets
• Superconformal N=2, D=5 matter with and without actions
• N=1 Conformal Superspace in Four Dimensions
• Weyl multiplets of N=2 conformal supergravity in five Dimensions
• Supergravity Tensor Calculus in 5D from 6D
• 4D N = 2 Supergravity and Projective Superspace
• Hypermultiplets, Hyperkahler Cones and Quaternion-Kahler Geometry
• D=4, N=2 Gauged Supergravity in the Presence of Tensor Multiplets
• New higher-derivative invariants in N=2 supergravity and the Gauss-Bonnet term
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• On conformal supergravity and projective superspace
• Conformal supergravity in three dimensions: New off-shell formulation
• Conformal supergravity in five dimensions: New approach and applications
• N=2 Conformal Superspace in Four Dimensions
• Super-Weyl invariance in 5D supergravity
• Anomalous Magnetic Properties of Sr2YRuO6
• Conformal supergravity in three dimensions: Off-shell actions
• All Off-Shell R^2 Invariants in Five Dimensional N=2 Supergravity
• Gauging Isometries on Hyperkahler Cones and Quaternion-Kahler Manifolds
• Invariants for minimal conformal supergravity in six dimensions
• Construction of all N=4 conformal supergravities
• N=6 superconformal gravity in three dimensions from superspace
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Higher Derivative Extension of 6D Chiral Gauged Supergravity
• The component structure of conformal supergravity invariants in six dimensions
• Super-Weyl anomalies in N=2 supergravity and (non)local effective actions
• Electric and magnetic charges in N=2 conformal supergravity theories
• Gauss-Bonnet supergravity in six dimensions
• Component reduction in N=2 supergravity: the vector, tensor, and vector-tensor multiplets
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• Off-shell N=(1,0), D=6 supergravity from superconformal methods
• Supersymmetric Completion of Gauss-Bonnet Combination in Five Dimensions
• Nilpotent chiral superfield in N=2 supergravity and partial rigid supersymmetry breaking
• Supersymmetric Vacua in N=2 Supergravity
• Nonlinear $\mathcal{N}=2$ Global Supersymmetry
• $N=2$ dilaton Weyl multiplet in 4D supergravity
• Lagrangians with electric and magnetic charges of N=2 supersymmetric gauge theories
• N=4 conformal supergravity: the complete actions
• Gauge and Non-Gauge Tensor Multiplets in 5D Conformal Supergravity
• A new approach to curved projective superspace
• On curvature squared terms in N = 2 supergravity
• Supergravity with Fayet-Iliopoulos terms and R-symmetry
• On conformal supergravity and harmonic superspace
• New higher derivative action for tensor multiplet in N=2 conformal supergravity in four dimensions
• New nilpotent $\mathcal{N}=2$ superfields
• Curvature squared action in four dimensional $N=2$ supergravity using the dilaton Weyl multiplet
• New Fayet-Iliopoulos terms in $\mathcal{N}=2$ supergravity
• $\mathcal{N}=2$ Supersymmetry Deformations, Electromagnetic Duality and Dirac-Born-Infeld Actions
• Vector-tensor supermultiplets in AdS and supergravity