N=1 Conformal Superspace in Four Dimensions

TL;DR

This paper constructs a detailed N=1, D=4 superspace with superconformal symmetry, linking it to previous component methods and Poincaré superspaces, advancing the understanding of supersymmetric geometries.

Contribution

It introduces a novel N=1, D=4 superconformal superspace framework, expanding the geometric tools for supersymmetry research.

Findings

Developed a detailed superconformal superspace in four dimensions.

Established connections to existing Poincaré superspaces.

Provided insights into superspace structures with superconformal symmetry.

Abstract

We construct in detail an N=1, D=4 superspace with the superconformal algebra as the structure group and discuss its relation to prior component approaches and the existing Poincar\'e superspaces.