# A Unified Enumeration of 1-dimension Garden Algebras and Valise Adinkras

@inproceedings{Zhang2018AUE, title={A Unified Enumeration of 1-dimension Garden Algebras and Valise Adinkras}, author={Y. X. Zhang}, year={2018} }

In the study of supersymmetry in one dimension, various works enumerate sets of generators of garden algebras $GR(d,N)$ (and equivalently, valise Adinkras) for special cases $N = d = 4$ and $N = d = 8$, using group-theoretic methods and computer computation. We complement this work by enumerating the objects for arbitrary $N$ and $d$ via a formula in a streamlined manner.

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### Citations

##### Publications citing this paper.

SHOWING 1-4 OF 4 CITATIONS

## 4D, N = 1 Matter Gravitino Genomics

VIEW 1 EXCERPT

CITES BACKGROUND

## D , N = 1 Matter Gravitino Genomics

VIEW 1 EXCERPT

CITES BACKGROUND

## Enumerative Gadget Phenomena for $(4,1)$-Adinkras

VIEW 1 EXCERPT

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-9 OF 9 REFERENCES

## Adinkras for Mathematicians

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## N=4 and N=8 SUSY Quantum Mechanics and Klein's Vierergruppe

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## Adinkra (In)Equivalence From Coxeter Group Representations: A Case Study

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Sinister or Rectus

VIEW 3 EXCERPTS

## Mass formulas for self-dual codes over Z4 and Fq+uFq rings

VIEW 2 EXCERPTS