Superembedding methods for 4d N-extended SCFTs

Abstract

We consider the embedding method of the superconformal group in four dimensions in the case of extended supersymmetry, hence generalizing the recent work of Goldberger, Skiba and Son which was restricted at N=1. Moreover, we work out explicitly the case of N=2 chiral superfields in four dimensions, putting the component fields in correspondence with Pascal's pyramid at layer N. This correspondence is a generic property of the N-extended chiral sector.

26 pages; references added; published version

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• Covariant Approaches to Superconformal Blocks
• $\mathcal{N}=1$ Superconformal Blocks for General Scalar Operators
• Superembedding Methods for Current Superfields
• Conformally compactified Minkowski superspaces revisited
• Three-point functions of a superspin-2 current multiplet in 3D, N=1 superconformal theory
• Supertwistor realisations of AdS superspaces
• Superconformal structures on the three-sphere
• Superconformal Partial Waves for Stress-tensor Multiplet Correlator in $4D$ $\mathcal{N}=2$ SCFTs
• Superconformal field theory in three dimensions: Correlation functions of conserved currents
• Superconformal blocks for stress-tensor and chiral operators for 4D $\mathcal{N}=2$ superconformal field theories