The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs. / Yuen, Chi Ho.
I: Electronic Journal of Combinatorics, Bind 31, Nr. 1, P1.38, 2024.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs
AU - Yuen, Chi Ho
N1 - Publisher Copyright: © The author. Released under the CC BY-ND license (International 4.0).
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85184432376&partnerID=8YFLogxK
U2 - 10.37236/11758
DO - 10.37236/11758
M3 - Journal article
AN - SCOPUS:85184432376
VL - 31
JO - Electronic Journal of Combinatorics
JF - Electronic Journal of Combinatorics
SN - 1077-8926
IS - 1
M1 - P1.38
ER -
ID: 382977231