# Structural Theory of 2-d Adinkras

@article{Iga2015StructuralTO, title={Structural Theory of 2-d Adinkras}, author={Kevin Iga and Yan X. Zhang}, journal={arXiv: High Energy Physics - Theory}, year={2015} }

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. Hubsch. Along the way, we obtain other structural results, including a simple characterization of Hubsch’s even-split doubly even codes.

## 6 Citations

Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples

- Mathematicsp-Adic Numbers, Ultrametric Analysis and Applications
- 2019

We investigate the spectral geometry and spectral action functionals associated to 1D Supersymmetry Algebras, using the classification of these superalgebras in terms of Adinkra graphs and the…

Adinkras from ordered quartets of BC4 Coxeter group elements and regarding 1,358,954,496 matrix elements of the Gadget

- Geology
- 2017

A bstractWe examine values of the Adinkra Holoraumy-induced Gadget representation space metric over all possible four-color, four-open node, and four-closed node adinkras. Of the 1,358,954,496 gadget…

Generating All 36, 864 Four-Color Adinkras via Signed Permutations and Organizing into ℓ- and ℓ ˜ -Equivalence Classes

- MathematicsSymmetry
- 2019

On the basis of the complete analysis of the supersymmetrical representations achieved in the preparatory first four sections, the final comprehensive achievement of this work is the construction of the universal B C 4 non-linear σ -model.

Adinkra height yielding matrix numbers: Eigenvalue equivalence classes for minimal four-color adinkras

- MathematicsInternational Journal of Modern Physics A
- 2019

An adinkra is a graph-theoretic representation of space–time supersymmetry. Minimal four-color valise adinkras have been extensively studied due to their relations to minimal 4D, [Formula: see text]…

A proposal on culling & filtering a coxeter group for 4D, N$$ \mathcal{N} $$ = 1 spacetime SUSY representations: revised

- Mathematics
- 2016

A bstractWe present an expanded and detailed discussion of the mathematical tools required to cull and filter representations of the Coxeter Group BC4 into providing bases for the construction of…

Properties of HYMNs in examples of four-color, five-color, and six-color adinkras

- Mathematics
- 2020

The mathematical concept of a "Banchoff index" associated with discrete Morse functions for oriented triangular meshes has been shown to correspond to the height assignments of nodes in adinkras. In…

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