On General Off-Shell Representations of Worldline (1D) Supersymmetry
arXiv:1310.3258 · doi:10.3390/sym6010067
Abstract
Every finite-dimensional unitary representation of the N-extended worldline supersymmetry without central charges may be obtained by a sequence of differential transformations from a direct sum of minimal Adinkras, simple supermultiplets that are identifiable with representations of the Clifford algebra. The data specifying this procedure is a sequence of subspaces of the direct sum of Adinkras, which then opens an avenue for classification of the continuum of so constructed off-shell supermultiplets.
21 pages, 5 illustrations; references updated
References in corpus (11)
- Hierarchy of N=8 Mechanics Models
- Gauging N=4 supersymmetric mechanics II: (1,4,3) models from the (4,4,0) ones
- When Superspace Is Not Enough
- Refining the classification of the irreps of the 1D N-Extended Supersymmetry
- New Model of N=8 Superconformal Mechanics
- The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics
- The Real Anatomy of Complex Linear Superfields
- Adinkras for Clifford Algebras, and Worldline Supermultiplets
- Pure and entangled N=4 linear supermultiplets and their one-dimensional sigma-models
- Golden Ratio Controlled Chaos in Supersymmetric Dynamics
- A Q-Continuum of Off-Shell Supermultiplets