Structural Theory and Classification of 2D Adinkras

Adinkras are combinatorial objects developed to study (1-dimensional) supersymmetry representations. Recently, 2D Adinkras have been developed to study 2-dimensional supersymmetry. In this paper, we classify all 2D Adinkras, confirming a conjecture of T. Hübsch. Along the way, we obtain other struct...

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Bibliographic Details
Published in:Advances in high energy physics 2016-01, Vol.2016 (2016), p.1-12
Main Authors: Iga, K. M., Zhang, Yan X.
Format: Article
Language:English
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Summary:Adinkras are combinatorial objects developed to study (1-dimensional) supersymmetry representations. Recently, 2D Adinkras have been developed to study 2-dimensional supersymmetry. In this paper, we classify all 2D Adinkras, confirming a conjecture of T. Hübsch. Along the way, we obtain other structural results, including a simple characterization of Hübsch’s even-split doubly even codes.
ISSN:1687-7357
1687-7365
DOI:10.1155/2016/3980613