Structural Theory of 2-d Adinkras

Abstract

Adinkras are combinatorial objects developed to study 1-dimensional supersymmetry representations. Recently, 2-d Adinkras have been developed to study 2-dimensional supersymmetry. In this paper, we classify all 2-d 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 code.

24 pages

References in corpus (3)

• Spin Holography via Dimensional Enhancement
• Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible Representations of N-Extended Supersymmetry
• Weaving Worldsheet Supermultiplets from the Worldlines Within

Cited by in corpus (1)

• Properties of HYMNs in Examples of Four-Color, Five-Color, and Six-Color Adinkras