Supertwistor realisations of AdS superspaces

Abstract

We propose supertwistor realisations of $(p,q)$ anti-de Sitter (AdS) superspaces in three dimensions and $\mathcal{N}$-extended AdS superspaces in four dimensions. For each superspace, we identify a two-point function that is invariant under the corresponding isometry supergroup. This two-point function is a supersymmetric extension (of a function) of the geodesic distance. We also describe a bi-supertwistor formulation for $\mathcal{N}$-extended AdS superspace in four dimensions and harmonic/projective extensions of $(p,q)$ AdS superspaces in three dimensions.

21 pages

References in corpus (8)

• 4D N = 2 Supergravity and Projective Superspace
• $\mathcal{N}=1$ Superconformal Blocks for General Scalar Operators
• Three-dimensional (p,q) AdS superspaces and matter couplings
• Off-shell superconformal nonlinear sigma-models in three dimensions
• Superconformal geometries and local twistors
• Superembedding methods for 4d N-extended SCFTs
• Superconformal structures on the three-sphere
• Local supertwistors and conformal supergravity in six dimensions

Cited by in corpus (4)

• Conformal $(p,q)$ supergeometries in two dimensions
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ superconformal field theory
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• Superconformal blocks for stress-tensor and chiral operators for 4D $\mathcal{N}=2$ superconformal field theories