Adinkras From Ordered Quartets of BC_4$ Coxeter Group Elements and Regarding 1,358,954,496 Matrix Elements of the Gadget

We examine values of the Adinkra Holoraumy-induced Gadget representation space metric over all possible four-color, four-open node, and four-closed node adinkras. Of the 1,358,954,496 gadget matrix elements, only 226,492,416 are non-vanishing and take on one of three values: $-1/3$, $1/3$, or $1$ an...

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Main Authors GatesJr, S. James, Guyton, Forrest, Harmalkar, Siddhartha, Kessler, David S, Korotkikh, Vadim, Meszaros, Victor A
Format Journal Article
LanguageEnglish
Published 01.01.2017
Subjects
Mathematics - Mathematical Physics
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
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Summary:We examine values of the Adinkra Holoraumy-induced Gadget representation space metric over all possible four-color, four-open node, and four-closed node adinkras. Of the 1,358,954,496 gadget matrix elements, only 226,492,416 are non-vanishing and take on one of three values: $-1/3$, $1/3$, or $1$ and thus a subspace isomorphic to a description of a body-centered tetrahedral molecule emerges.
Bibliography:Univ. of Maryland PPN UMDEPP-017-011, Brown Univ. PPN HET-1678
DOI:10.48550/arxiv.1701.00304