A unified enumeration of 1-dimension garden algebras and valise Adinkras
Annales de l’Institut Henri Poincaré D, Tome 7 (2020) no. 4, pp. 493-504.
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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.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/92
Classification : 05-XX, 81-XX
Mots-clés : Adinkras, supersymmetry, combinatorics, graph theory 
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     author = {Zhang, Yan X},
     title = {A unified enumeration of 1-dimension garden algebras and valise {Adinkras}},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {493--504},
     volume = {7},
     number = {4},
     year = {2020},
     doi = {10.4171/aihpd/92},
     mrnumber = {4182773},
     zbl = {1458.05115},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/aihpd/92/}
}
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Zhang, Yan X. A unified enumeration of 1-dimension garden algebras and valise Adinkras. Annales de l’Institut Henri Poincaré D, Tome 7 (2020) no. 4, pp. 493-504. doi : 10.4171/aihpd/92. http://archive.numdam.org/articles/10.4171/aihpd/92/

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