Enumerative gadget phenomena for (4, 1)-adinkras
Publication Date
1-1-2021
Document Type
Article
Publication Title
Annales de l'Institut Henri Poincare (D) Combinatorics, Physics and their Interactions
Volume
8
Issue
1
DOI
10.4171/AIHPD/98
First Page
89
Last Page
118
Abstract
Adinkras are combinatorial objects developed to study supersymmetry repre-sentations. Gates et al. introduced the gadget as a function of pairs of adinkras, obtaining some mysterious results for.n D 4; k D 1/ adinkras with computer-aided computation. Specifically, very few values of the gadget actually appear, suggesting a great deal of symmetry in these objects. In this paper, we compute gadgets symbolically and explain some of these observed phenomena with group theory and combinatorics. Guided by this work, we give some suggestions for generalizations of the gadget to other values of the n and k parameters.
Keywords
Adinkras, Gadgets, Inner products, Supersymmetry
Department
Mathematics and Statistics
Recommended Citation
Isaac Friend, Jordan Kostiuk, and Yan X. Zhang. "Enumerative gadget phenomena for (4, 1)-adinkras" Annales de l'Institut Henri Poincare (D) Combinatorics, Physics and their Interactions (2021): 89-118. https://doi.org/10.4171/AIHPD/98
