Charge functions for all dimensional partitions
Mathematical Physics
2026-01-01 v1 High Energy Physics - Theory
Combinatorics
math.MP
Quantum Algebra
Representation Theory
Abstract
The charge functions for n-dimensional partitions are known for n=2,3,4 in the literature. We give the expression for arbitrary odd dimension in a recent work, and now further conjecture a formula for all even dimensional cases. This conjecture is proved rigorously for 6D, and numerically verified for 8D.
Cite
@article{arxiv.2512.24343,
title = {Charge functions for all dimensional partitions},
author = {Hao Feng and Tian-Shun Chen and Kilar Zhang},
journal= {arXiv preprint arXiv:2512.24343},
year = {2026}
}
Comments
7 pages, 3 figures