Extended superconformal higher-spin gauge theories in four dimensions

Abstract

Using the off-shell formulation for $\mathcal{N}=2$ conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge prepotentials. The latter are used to construct locally superconformal chiral actions, which are demonstrated to be gauge invariant in arbitrary conformally flat backgrounds. The main $\mathcal{N}=2$ results are then generalised to the $\mathcal{N}$-extended case. We also present the gauge-invariant field strengths for on-shell massless higher-spin $\mathcal{N}=2$ supermultiplets in anti-de Sitter space. These field strengths prove to furnish representations of the $\mathcal{N}=2$ superconformal group.

arXiv comment31 pages; V3: title changed, references and comments added, a new section included, accepted for publication in JHEP

References in corpus (50)

• Spectrum of Type IIB Supergravity on AdS_5 x T^{11}: Predictions on N = 1 SCFT's
• Conformal Higher Spin Theory
• Correlation Functions of Conserved Currents in N = 2 Superconformal Theory
• Effective action in a higher-spin background
• N=1 Conformal Superspace in Four Dimensions
• On limits of superstring in AdS_5 x S^5
• 4D N = 2 Supergravity and Projective Superspace
• Superconformal Symmetry and Correlation Functions
• On conformal supergravity and projective superspace
• Conformal supergravity in three dimensions: New off-shell formulation
• N=2 Conformal Superspace in Four Dimensions
• Different representations for the action principle in 4D N = 2 supergravity
• Field theory in 4D N=2 conformally flat superspace
• Off-shell massive N=1 supermultiplets in three dimensions
• New higher-derivative couplings in 4D N = 2 supergravity
• Towards a Unified Theory of Massless Superfields of All Superspins
• Construction of all N=4 conformal supergravities
• Off-shell superconformal higher spin multiplets in four dimensions
• On the Superconformal Flatness of AdS Superspaces
• On conformal higher spin wave operators
• N=2 supergravity and supercurrents
• N = 2 Supersymmetry of Higher Superspin Massless Theories
• N=2 AdS supergravity and supercurrents
• Component reduction in N=2 supergravity: the vector, tensor, and vector-tensor multiplets
• Duality-invariant (super)conformal higher-spin models
• Higher spin supercurrents in anti-de Sitter space
• Free massless higher-superspin superfields on the anti-de Sitter superspace
• Lectures on nonlinear sigma-models in projective superspace
• Higher spin super-Cotton tensors and generalisations of the linear-chiral duality in three dimensions
• On induced action for conformal higher spins in curved background
• Conformal geometry and (super)conformal higher-spin gauge theories
• N=4 conformal supergravity: the complete actions
• Off-shell higher spin N=2 supermultiplets in three dimensions
• Some remarks on (super)-conformal Killing-Yano tensors
• Topologically massive higher spin gauge theories
• Symmetries of supergravity backgrounds and supersymmetric field theory
• Superconformal geometries and local twistors
• On conformal higher spins in curved background
• Notes on Super Killing Tensors
• $\mathcal{N}=2$ supersymmetric higher spin gauge theories and current multiplets in three dimensions
• New locally (super)conformal gauge models in Bach-flat backgrounds
• N = 3 Conformal Supergravity in Four Dimensions
• Comment on "The N = 3 Weyl Multiplet in Four Dimensions"
• Super-Laplacians and their symmetries
• Geometrical structure of Weyl invariants for spin three gauge field in general gravitational background in $d=4$
• AdS superprojectors
• Generalised superconformal higher-spin multiplets
• Generalised conformal higher-spin fields in curved backgrounds
• Linearised actions for $\mathcal{N}$-extended (higher-spin) superconformal gravity
• Off-Shell Scalar Supermultiplet in the Unfolded Dynamics Approach

Cited by in corpus (13)

• Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields
• $\mathcal{N}=2$ higher spins: superfield equations of motion, the hypermultiplet supercurrents, and the component structure
• Conformal interactions between matter and higher-spin (super)fields
• Flows in the Space of Interacting Chiral Boson Theories
• $\mathcal{N}=2$ superconformal higher-spin multiplets and their hypermultiplet couplings
• On higher-spin $\mathcal{N}=2$ supercurrent multiplets
• The anti-de Sitter supergeometry revisited
• Three-point functions of conserved currents in 4D CFT: general formalism for arbitrary spins
• $\mathcal{N}=2$ superconformal gravitino in harmonic superspace
• Self-duality for $\mathcal{N}$-extended superconformal gauge multiplets
• $\mathcal{N}=2$ higher-spin supercurrents
• $\mathcal{N}=2$ higher-spin theories and harmonic superspace
• Supersymmetry at BLTP: Recent Progress in Two Directions