PreprintCC BY 4.0arXiv
Topological Characterization of Adinkra Heights
Abstract
Adinkras are highly structured bipartite graphs that encapsulate 1D supersymmetry representations. We classify hypercube Adinkra heights with one, two, three or four edge colors using a graph-theoretic notion of equivalence. For the 990 distinct height functions in the case of four edge colors, we show that these classes match modified twisted character classes bijectively and provide a finer classification than spectral Height Yielding Matrix Numbers (HYMNs). We also relate our classification to the physics of the two-dimensional chiral and twisted chiral supermultiplets.
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BibTeX
@misc{francis2026topological,
title = {{Topological Characterization of Adinkra Heights}},
author = {Amanda E. Francis and S. James Gates Jr. and Digvijay Roy Varier and Ursula A. Whitcher},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07637},
eprint = {2611.07637},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07637},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Topological Characterization of Adinkra Heights
AU - Amanda E. Francis
AU - S. James Gates Jr.
AU - Digvijay Roy Varier
AU - Ursula A. Whitcher
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07637
UR - https://arxiv.org/abs/2611.07637
AB - Adinkras are highly structured bipartite graphs that encapsulate 1D supersymmetry representations. We classify hypercube Adinkra heights with one, two, three or four edge colors using a graph-theoretic notion of equivalence. For the 990 distinct height functions in the case of four edge colors, we show that these classes match modified twisted character classes bijectively and provide a finer classification than spectral Height Yielding Matrix Numbers (HYMNs). We also relate our classification to the physics of the two-dimensional chiral and twisted chiral supermultiplets.
ER -