38 citations · 166 across the 7 of their papers we have counts for
7 papers
Codes and Supersymmetry in One Dimension
C. F. Doran, M. G. Faux, S. J. Gates +4
Adinkras are diagrams that describe many useful supermultiplets in D=1 dimensions. We show that the topology of the Adinkra is uniquely determined by a doubly even code. Conversely…
Adinkras for Clifford Algebras, and Worldline Supermultiplets
C. F. Doran, M. G. Faux, S. J. Gates +4
Adinkras are a graphical depiction of representations of the N-extended supersymmetry algebra in one dimension, on the worldline. These diagrams represent the component fields in a…
Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible Representations of N-Extended Supersymmetry
C. F. Doran, M. G. Faux, S. J. Gates +3
Previous work has shown that the classification of indecomposable off-shell representations of N-supersymmetry, depicted as Adinkras, may be factored into specifying the topologies…
Topology Types of Adinkras and the Corresponding Representations of N-Extended Supersymmetry
C. F. Doran, M. G. Faux, S. J. Gates +4
We present further progress toward a complete classification scheme for describing supermultiplets of N-extended worldline supersymmetry, which relies on graph-theoretic topologica…
Adinkras and the Dynamics of Superspace Prepotentials
C. F. Doran, M. G. Faux, S. J. Gates +3
We demonstrate a method for describing one-dimensional N-extended supermultiplets and building supersymmetric actions in terms of unconstrained prepotential superfields, explicitly…
Off-shell supersymmetry and filtered Clifford supermodules
Charles F. Doran, Michael G. Faux, S. James Gates +3
An off-shell representation of supersymmetry is a representation of the super Poincare algebra on a dynamically unconstrained space of fields. We describe such representations form…
On Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields
C. F. Doran, M. G. Faux, S. J. Gates +3
In this paper we discuss off-shell representations of N-extended supersymmetry in one dimension, ie, N-extended supersymmetric quantum mechanics, and following earlier work on the…