1. The 300 'correlators' suggests 4D, N $$ \mathcal{N} $$ = 1 SUSY is a solution to a set of Sudoku puzzles
- Author
-
S. James Gates, Aleksander J. Cianciara, Yangrui Hu, and Renee Kirk
- Subjects
Physics ,High Energy Physics - Theory ,Global Symmetries ,Nuclear and High Energy Physics ,Conjecture ,010308 nuclear & particles physics ,Coxeter group ,FOS: Physical sciences ,Four color theorem ,Supersymmetry ,QC770-798 ,Permutation group ,01 natural sciences ,Combinatorics ,Set (abstract data type) ,Auxiliary field ,Truncated octahedron ,High Energy Physics - Theory (hep-th) ,Nuclear and particle physics. Atomic energy. Radioactivity ,0103 physical sciences ,Supersymmetric Effective Theories ,Supersymmetry and Duality ,010306 general physics - Abstract
A conjecture is made that the weight space for 4D, $\cal N$-extended supersymmetrical representations is embedded within the permutahedra associated with permutation groups ${\mathbb{S}}{}_{d}$. Adinkras and Coxeter Groups associated with minimal representations of 4D, $\cal N$ = 1 supersymmetry provide evidence supporting this conjecture. It is shown the appearance of the mathematics of 4D, $\cal N$ = 1 minimal off-shell supersymmetry representations is equivalent to solving a four color problem on the truncated octahedron. This observation suggest an entirely new way to approach the off-shell SUSY auxiliary field problem based on IT algorithms probing the properties of ${\mathbb{S}}{}_{d}$., LaTeX twice, 39 pages, 14 figures, 28 tables (v2 added one table and associated content, v3 note added in proof comment)
- Published
- 2021