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 …

Presented in this paper the nature of the supersymmetrical representation theory behind 4D,
Script N= 1 theories, as described by component fields, is investigated using the tools of …

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 …

Adinkras are graphical tools created to study representations of supersymmetry algebras.
Besides having inherent interest for physicists, the study of adinkras has already shown non …

We present further progress toward a complete classification scheme for describing
supermultiplets of N-extended worldline supersymmetry, which relies on graph-theoretic …

Uniting the usually distinct areas of particle physics and quantum field theory, gravity and
general relativity, this expansive and comprehensive textbook of fundamental and …

A bstract We present a new method of deriving the off-shell spectrum of supergravity and
massless 4D,\(\mathcal {N}\)= 1 higher spin multiplets without the need of an action and …

Adinkras are signed graphs used to study supersymmetry in physics. We provide an
introduction to these objects, and study the properties of their signed adjacency and signed …

The problem of classifying off-shell representations of the $ N $-extended one-dimensional
super Poincar\'{e} algebra is closely related to the study of a class of decorated $ N …

There exist myriads of off-shell worldline supermultiplets for (N≦32)-extended
supersymmetry in which every supercharge maps a component field to precisely one other …