Adinkras for Mathematicians
Yan X Zhang
TL;DR
This paper explores the mathematical aspects of adinkras, graphical tools in supersymmetry, by providing a survey, new definitions, and original results in algebraic, combinatorial, and computational contexts.
Contribution
It introduces a more mathematically natural language for adinkras, offers new definitions, and presents original results, advancing the mathematical understanding of these tools.
Findings
Survey of mathematical problems related to adinkras
Introduction of new definitions for adinkras
Presentation of original mathematical results
Abstract
Adinkras are graphical tools created for the study of representations in supersymmetry. Besides having inherent interest for physicists, adinkras offer many easy-to-state and accessible mathematical problems of algebraic, combinatorial, and computational nature. We use a more mathematically natural language to survey these topics, suggest new definitions, and present original results.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Algebraic and Geometric Analysis