N=2 Conformal Superspace in Four Dimensions

Abstract

We develop the geometry of four dimensional N=2 superspace where the entire conformal algebra of SU(2,2|2) is realized linearly in the structure group rather than just the SL(2,C) x U(2)_R subgroup of Lorentz and R-symmetries, extending to N=2 our prior result for N=1 superspace. This formulation explicitly lifts to superspace the existing methods of the N=2 superconformal tensor calculus; at the same time the geometry, when degauged to SL(2,C) x U(2)_R, reproduces the existing formulation of N=2 conformal supergravity constructed by Howe.

43 pages; v2 references added, acknowledgments updated

References in corpus (5)

• 4D N = 2 Supergravity and Projective Superspace
• New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!
• On conformal supergravity and projective superspace
• On superconformal projective hypermultiplets
• Off-shell N=2 tensor supermultiplets

Cited by in corpus (52)

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• Conformal supergravity in three dimensions: New off-shell formulation
• Conformal supergravity in three dimensions: Off-shell actions
• Invariants for minimal conformal supergravity in six dimensions
• Six-dimensional Supergravity and Projective Superfields
• N=6 superconformal gravity in three dimensions from superspace
• The component structure of conformal supergravity invariants in six dimensions
• Super-Weyl anomalies in N=2 supergravity and (non)local effective actions
• Component reduction in N=2 supergravity: the vector, tensor, and vector-tensor multiplets
• Duality-invariant (super)conformal higher-spin models
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• N=4 conformal supergravity: the complete actions
• Rigid 4D N=2 supersymmetric backgrounds and actions
• $N=2$ dilaton Weyl multiplet in 4D supergravity
• Conformal geometry and (super)conformal higher-spin gauge theories
• Off-shell higher spin N=2 supermultiplets in three dimensions
• Extended superconformal higher-spin gauge theories in four dimensions
• Goldstino superfields in N=2 supergravity
• The linear multiplet and ectoplasm
• A new approach to curved projective superspace
• On curvature squared terms in N = 2 supergravity
• Nonlinear self-duality in N = 2 supergravity
• Superconformal geometries and local twistors
• Supergravity-matter actions in three dimensions and Chern-Simons terms
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
• On conformal supergravity and harmonic superspace
• New higher derivative action for tensor multiplet in N=2 conformal supergravity in four dimensions
• Conformal interactions between matter and higher-spin (super)fields
• New locally (super)conformal gauge models in Bach-flat backgrounds
• $\mathcal{N}=2$ superconformal higher-spin multiplets and their hypermultiplet couplings
• New Fayet-Iliopoulos terms in $\mathcal{N}=2$ supergravity
• Superform formulation for vector-tensor multiplets in conformal supergravity
• Conformal $(p,q)$ supergeometries in two dimensions
• On higher-spin $\mathcal{N}=2$ supercurrent multiplets
• Superforms in Simple Six-dimensional Superspace
• Vector-tensor supermultiplets in AdS and supergravity
• Embedding formalism for $\mathcal{N}$-extended AdS superspace in four dimensions
• Superconformal structures on the three-sphere
• The anti-de Sitter supergeometry revisited
• N=2 conformal supergravity in five dimensions
• All Chern-Simons Invariants of 4D, N = 1 Gauged Superform Hierarchies
• Symmetries of $\mathcal{N}=(1,0)$ supergravity backgrounds in six dimensions
• Local supertwistors and conformal supergravity in six dimensions
• Off-shell invariants of linearized $4D,\mathcal{N}=2$ supergravity in the harmonic approach
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• Variant vector-tensor multiplets in supergravity: Classification and component reduction
• The Geometry of 6D, N = (1,0) Superspace and its Matter Couplings
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity