Codes and supersymmetry in one dimension

CF Doran, MG Faux, SJ Gates Jr, T Hübsch, KM Iga… - 2011 - projecteuclid.org
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 …

On graph-theoretic identifications of Adinkras, supersymmetry representations and superfields

CF Doran, MG Faux, SJ Gates Jr, T Hübsch… - … Journal of Modern …, 2007 - World Scientific
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 …

Relating doubly-even error-correcting codes, graphs, and irreducible representations of N-extended supersymmetry

CF Doran, MG Faux, SJ Gates Jr, T Hubsch… - arXiv preprint arXiv …, 2008 - arxiv.org
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

CF Doran, MG Faux, SJ Gates Jr, T Hubsch… - arXiv preprint arXiv …, 2008 - arxiv.org
We present further progress toward a complete classification scheme for describing
supermultiplets of N-extended worldline supersymmetry, which relies on graph-theoretic …

Adinkras: graphs of clifford algebra representations, supersymmetry, and codes

K Iga - Advances in Applied Clifford Algebras, 2021 - Springer
An Adinkra is a graph from the study of supersymmetry in particle physics, but it can be
adapted to study Clifford algebra representations. The graph in this context is called a …

Geometrization of N-extended 1-dimensional supersymmetry algebras

C Doran, K Iga, J Kostiuk, G Landweber… - arXiv preprint arXiv …, 2013 - arxiv.org
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 …

On dimensional extension of supersymmetry: from worldlines to worldsheets

SJ Gates Jr, T Hübsch - 2012 - projecteuclid.org
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 …

The real anatomy of complex linear superfields

SJ Gates Jr, J Hallett, T Huebsch… - International Journal of …, 2012 - World Scientific
Recent work on classification of off-shell representations of N-extended worldline
supersymmetry without central charges has uncovered an unexpectedly vast number …

[HTML][HTML] Spin holography via dimensional enhancement

MG Faux, GD Landweber - Physics Letters B, 2009 - Elsevier
We explain how all information about ambient component field spin assignments in higher-
dimensional off-shell supersymmetry is accessibly coded in one-dimensional restrictions …

On the matter of N= 2 matter

CF Doran, MG Faux, SJ Gates Jr, T Hübsch, KM Iga… - Physics Letters B, 2008 - Elsevier
We introduce a variety of four-dimensional N= 2 matter multiplets which have not previously
appeared explicitly in the literature. Using these, we develop a class of supersymmetric …