The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs

Chi Ho Yuen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Adinkras are graphical gadgets introduced by physicists to study supersymmetry, which can be thought of as the Cayley graphs for supersymmetry algebras. Improving the result of Iga et al., we determine the critical group of an Adinkra given the 2-rank of the Laplacian of the underlying Cayley graph. As a corollary, we show that the critical group is independent of the signature of the Adinkra. The proof uses the monodromy pairing on these critical groups.

Original languageEnglish
Article numberP1.38
JournalElectronic Journal of Combinatorics
Issue number1
StatePublished - 2024


Dive into the research topics of 'The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs'. Together they form a unique fingerprint.

Cite this