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20022022
most citedOn Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields

38 citations · 275 across the 25 of their papers we have counts for

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hep-th2017★ 7 cited

Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into - and -Equivalence Classes

S. James Gates, Kevin Iga, Lucas Kang +2

Recently, all 1,358,954,496 values of the gadget between the 36,864 adinkras with four colors, four bosons, and four fermions have been computed. In this paper, we further analyze…

hep-th2016

Geometrization of -Extended -Dimensional Supersymmetry Algebras II

Charles Doran, Kevin Iga, Jordan Kostiuk +1

The problem of classifying off-shell representations of the -extended one-dimensional super Poincaré algebra is closely related to the study of a class of decorated -regular…

hep-th2016★ 2 cited

N=4 and N=8 SUSY Quantum Mechanics and Klein's Vierergruppe

S. James Gates, Tristan Hübsch, Kevin Iga +1

Sets of signed permutation matrices satisfying the GR(4,4) algebra are shown to be, up to sign, left cosets of Klein's famous Vierergruppe. In this way we verify the count done by…

hep-th2015★ 2 cited

Structural Theory of 2-d Adinkras

Kevin Iga, Yan X. Zhang

Adinkras are combinatorial objects developed to study 1-dimensional supersymmetry representations. Recently, 2-d Adinkras have been developed to study 2-dimensional supersymmetry.…

hep-th2013★ 5 cited

Geometrization of N-Extended 1-Dimensional Supersymmetry Algebras

Charles Doran, Kevin Iga, Jordan Kostiuk +2

The problem of classifying off-shell representations of the -extended one-dimensional super Poincaré algebra is closely related to the study of a class of decorated -regular,…

hep-th2013★ 10 cited

On General Off-Shell Representations of Worldline (1D) Supersymmetry

Charles F. Doran, Tristan Hubsch, Kevin M. Iga +1

Every finite-dimensional unitary representation of the N-extended worldline supersymmetry without central charges may be obtained by a sequence of differential transformations from…