A unified enumeration of 1-dimension garden algebras and valise Adinkras

Publication Date

1-1-2020

Document Type

Article

Publication Title

Annales de l'Institut Henri Poincare (D) Combinatorics, Physics and their Interactions

Volume

7

Issue

4

DOI

10.4171/AIHPD/92

First Page

493

Last Page

504

Abstract

In the study of supersymmetry in one dimension, various works enumerate sets of generators of garden algebras GR(d; N) (and equivalently, valise Adinkras) for special cases N = d = 4 and N = d = 8, using group-theoretic methods and computer computation. We complement this work by enumerating the objects for arbitrary N and d via a formula in a streamlined manner.

Keywords

Adinkras, Combinatorics, Graph theory, Supersymmetry

Department

Mathematics and Statistics

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