It's pretty super! : A Mathematical Study of Superspace in Fourdimensional, Unextended Supersymmetry

Sammanfattning: Superspace is a fundamental tool in the study of supersymmetry, one that while often used is seldom defined with a proper amount of mathematical rigor. This paper examines superspace and presents three different constructions of it; the original by Abdus Salam and J. Strathdee as well as two modern methods by Alice Rogers and Buchbinder-Kuzenko.Though the structures arrived at are the same the two modern constructions differ in methods, elucidating different important aspects of super-space. Rogers focuses on the underlying structure through the study of supermanifolds, and Buchbinder-Kuzenko the direct correlation with the Poincare superalgebra, and the parametrisation in terms of exponents.