An application of cubical cohomology to Adinkras and supersymmetry representations
Annales de l’Institut Henri Poincaré D, Tome 4 (2017) no. 3, pp. 387-415.

An Adinkra is a class of graphs with certain signs marking its vertices and edges, which encodes off-shell representations of the super Poincaré algebra. The markings on the vertices and edges of an Adinkra are cochains for cubical cohomology. This article explores the cubical cohomology of Adinkras, treating these markings analogously to characteristic classes on smooth manifolds.

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DOI : 10.4171/aihpd/43
Classification : 81-XX, 05-XX, 55-XX, 94-XX
Mots-clés : Cubical cohomology, supersymmetry, Adinkras, signed graphs 
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     author = {Doran, Charles F. and Iga, Kevin M. and Landweber, Gregory D.},
     title = {An application of cubical cohomology to {Adinkras} and supersymmetry representations},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {387--415},
     volume = {4},
     number = {3},
     year = {2017},
     doi = {10.4171/aihpd/43},
     mrnumber = {3713020},
     zbl = {1456.81429},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/aihpd/43/}
}
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Doran, Charles F.; Iga, Kevin M.; Landweber, Gregory D. An application of cubical cohomology to Adinkras and supersymmetry representations. Annales de l’Institut Henri Poincaré D, Tome 4 (2017) no. 3, pp. 387-415. doi : 10.4171/aihpd/43. http://archive.numdam.org/articles/10.4171/aihpd/43/

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