The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Annales de l’Institut Henri Poincaré D


Full-Text PDF (190 KB) | Metadata | Table of Contents | AIHPD summary
Volume 7, Issue 4, 2020, pp. 493–504
DOI: 10.4171/AIHPD/92

Published online: 2020-11-12

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

Yan X Zhang[1]

(1) San José State University, USA

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, supersymmetry, combinatorics, graph theory

Zhang Yan: A unified enumeration of 1-dimension garden algebras and valise Adinkras. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 7 (2020), 493-504. doi: 10.4171/AIHPD/92