Superspace: a Comfortably Vast Algebraic Variety
arXiv:0901.2136
Abstract
Supersymmetry has been studied for over three decades by physicists, its superset even longer by mathematicians, and superspace has proven to be very useful both conceptually and in facilitating computations. However, the (1) necessary existence of superspace has been doubted, and its (2) properties and (3) applications have not been understood in general. Herein, all doubt is removed from the first of these: superspace must exist. Further study then reveals a perhaps surprising size and algebro-geometric structure of this extension of spacetime.
23 pages, 5 tables, integrated illustrations
References in corpus (7)
- Adinkras: A Graphical Technology for Supersymmetric Representation Theory
- A Theory of Spinning Particles for Large N-extended Supersymmetry
- When Superspace Is Not Enough
- Topology Types of Adinkras and the Corresponding Representations of N-Extended Supersymmetry
- On the Matter of N=2 Matter
- Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible Representations of N-Extended Supersymmetry
- Adinkras and the Dynamics of Superspace Prepotentials