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Peer-reviewedCC BY 4.0SciPost Physics

Charge functions for all dimensional partitions

  • Hao Feng1
  • Tian-Shun Chen1
  • Kilar Zhang2,1
  1. 1Shanghai University
  2. 2Shanghai Normal University
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Abstract

The charge functions for n n -dimensional partitions are known for n=2,3,4 n = 2 , 3 , 4 in the literature. In a recent work, we gave the expression for arbitrary odd dimension; here we further conjecture a formula for all even-dimensional cases. This conjecture is proved rigorously for 6D, and numerically verified for 8D.

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Cite

BibTeXRIS
BibTeX
@article{feng2026charge,
  title = {{Charge functions for all dimensional partitions}},
  author = {Hao Feng and Tian-Shun Chen and Kilar Zhang},
  journal = {SciPost Physics},
  year = {2026},
  month = sep,
  doi = {10.21468/scipostphys.21.3.079},
  url = {https://scipost.org/10.21468/SciPostPhys.21.3.079},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Charge functions for all dimensional partitions
AU  - Hao Feng
AU  - Tian-Shun Chen
AU  - Kilar Zhang
PY  - 2026
DA  - 2026/09/30
JO  - SciPost Physics
DO  - 10.21468/scipostphys.21.3.079
UR  - https://scipost.org/10.21468/SciPostPhys.21.3.079
AB  - The charge functions for n n -dimensional partitions are known for n=2,3,4 n = 2 , 3 , 4 in the literature. In a recent work, we gave the expression for arbitrary odd dimension; here we further conjecture a formula for all even-dimensional cases. This conjecture is proved rigorously for 6D, and numerically verified for 8D.
SN  - 2542-4653
ER  -