Superembedding methods for 4d N-extended SCFTs

TL;DR

This paper extends superembedding methods to 4d N-extended superconformal field theories, explicitly analyzing N=2 chiral superfields and linking component fields to Pascal's pyramid, thereby generalizing prior N=1 work.

Contribution

It generalizes superembedding techniques to N-extended supersymmetry and explicitly details the N=2 case with a novel correspondence to Pascal's pyramid.

Findings

Superembedding methods are extended to N-extended superconformal groups.

Explicit N=2 chiral superfield analysis links component fields to Pascal's pyramid.

The work generalizes previous N=1 results to higher supersymmetry cases.

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.