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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| creator | GatesJr, S. James Guyton, Forrest Harmalkar, Siddhartha Kessler, David S Korotkikh, Vadim Meszaros, Victor A |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.1701.00304 |
| format | Article |
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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
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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
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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.</abstract><doi>10.48550/arxiv.1701.00304</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - High Energy Physics - Theory Physics - Mathematical Physics |
| title | Adinkras From Ordered Quartets of BC_4$ Coxeter Group Elements and Regarding 1,358,954,496 Matrix Elements of the Gadget |
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