Structural Theory and Classification of 2D Adinkras-Reference-Cited by-同舟云学术

Structural Theory and Classification of 2D Adinkras

Published:2016 Issue: Volume:2016 Page:1-12
ISSN:1687-7357
Container-title:Advances in High Energy Physics
language:en
Short-container-title:Advances in High Energy Physics

Author:

Iga Kevin¹,Zhang Yan X.²

Affiliation:

1. Natural Science Division, Pepperdine University, 24255 Pacific Coast Highway, Malibu, CA 90263, USA

2. Department of Mathematics, University of California, 970 Evans Hall, Berkeley, CA 94720-3840, USA

Abstract

Adinkras are combinatorial objects developed to study (1-dimensional) supersymmetry representations. Recently,2D Adinkrashave been developed to study2-dimensional supersymmetry. In this paper, we classify all2D Adinkras, confirming a conjecture of T. Hübsch. Along the way, we obtain other structural results, including a simple characterization of Hübsch’seven-split doubly even codes.

Publisher

Hindawi Limited

Subject

Nuclear and High Energy Physics

Link

http://downloads.hindawi.com/journals/ahep/2016/3980613.pdf

Reference18 articles.

1. ON GRAPH-THEORETIC IDENTIFICATIONS OF ADINKRAS, SUPERSYMMETRY REPRESENTATIONS AND SUPERFIELDS

2. Codes and supersymmetry in one dimension

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