$Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into $\ell$- and $\tilde{\ell}$-Equivalence Classes$

Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into $\ell$- and $\tilde{\ell}$-Equivalence Classes

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 these results in terms of $BC_3$, the signed permutation group of three elements, and $BC_4$, the signed permutation...

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Veröffentlicht in:	arXiv.org 2019-03
Hauptverfasser:	Gates, S James, Jr, Iga, Kevin, Kang, Lucas, Korotkikh, Vadim, Stiffler, Kory
Format:	Artikel
Sprache:	eng
Schlagworte:	Bosons Color Equivalence Fermions Group theory Permutations Quaternions
Online-Zugang:	Volltext
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Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into \(\ell\)- and \(\tilde{\ell}\)-Equivalence Classes