The 300 “correlators” suggests 4D, N = 1 SUSY is a solution to a set of Sudoku puzzles

• Published in: The journal of high energy physics Vol. 2021; no. 5
• Main Authors: Cianciara, Aleksander J., James Gates, S., Hu, Yangrui, Kirk, Renée
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 11-05-2021; Springer Nature B.V
• Subjects: Algebra; Algorithms; Classical and Quantum Gravitation; Correlators; Dissection; Eigenvalues; Elementary Particles; Four color problem; High energy physics; Permutations; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Representations; String Theory; Supersymmetry; Global Symmetries; Supersymmetric Effective Theories; Supersymmetry and Duality
• ISSN: 1029-8479
• DOI: 10.1007/JHEP05(2021)077

A
bstract
A conjecture is made that the weight space for 4D,
N
-extended supersymmetrical representations is embedded within the permutahedra associated with permutation groups 𝕊
d
. Adinkras and Coxeter Groups associated with minimal representations of 4D,
N
= 1 supersymmetry provide evidence supporting this conjecture. It is shown that the appearance of the mathematics of 4D,
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 𝕊
d
.